Finding the Third Proportional to 142,635,793,700.25 and 310,900,517,826.76

Step by Step Solution

1. Step 1: Write the proportion equation
   142,635,793,700.25 : 310,900,517,826.76 = 310,900,517,826.76 : x
2. Step 2: Convert to fraction form
   142,635,793,700.25/310,900,517,826.76 = 310,900,517,826.76/x
3. Step 3: Cross multiply
   142,635,793,700.25x = 310,900,517,826.76 × 310,900,517,826.76
4. Step 4: Simplify right side
   142,635,793,700.25x = 96,659,131,984,947,519,160,320
5. Step 5: Solve for x
   x = 96,659,131,984,947,519,160,320/142,635,793,700.25
6. Step 6: Final answer
   x = 677,663,926,265.78