Finding the Third Proportional to 264,493 and 402,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,493 : 402,275.50 = 402,275.50 : x
2. Step 2: Convert to fraction form
   264,493/402,275.50 = 402,275.50/x
3. Step 3: Cross multiply
   264,493x = 402,275.50 × 402,275.50
4. Step 4: Simplify right side
   264,493x = 161,825,577,900.25
5. Step 5: Solve for x
   x = 161,825,577,900.25/264,493
6. Step 6: Final answer
   x = 611,833.12