Finding the Third Proportional to 82,771,760.25 and 175,628,992.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,771,760.25 : 175,628,992.50 = 175,628,992.50 : x
2. Step 2: Convert to fraction form
   82,771,760.25/175,628,992.50 = 175,628,992.50/x
3. Step 3: Cross multiply
   82,771,760.25x = 175,628,992.50 × 175,628,992.50
4. Step 4: Simplify right side
   82,771,760.25x = 30,845,543,006,565,056
5. Step 5: Solve for x
   x = 30,845,543,006,565,056/82,771,760.25
6. Step 6: Final answer
   x = 372,657,811.23