Finding the Third Proportional to 331,557 and 509,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   331,557 : 509,920.50 = 509,920.50 : x
2. Step 2: Convert to fraction form
   331,557/509,920.50 = 509,920.50/x
3. Step 3: Cross multiply
   331,557x = 509,920.50 × 509,920.50
4. Step 4: Simplify right side
   331,557x = 260,018,916,320.25
5. Step 5: Solve for x
   x = 260,018,916,320.25/331,557
6. Step 6: Final answer
   x = 784,235.94