Finding the Third Proportional to 331,521 and 509,866.50

Step by Step Solution

1. Step 1: Write the proportion equation
   331,521 : 509,866.50 = 509,866.50 : x
2. Step 2: Convert to fraction form
   331,521/509,866.50 = 509,866.50/x
3. Step 3: Cross multiply
   331,521x = 509,866.50 × 509,866.50
4. Step 4: Simplify right side
   331,521x = 259,963,847,822.25
5. Step 5: Solve for x
   x = 259,963,847,822.25/331,521
6. Step 6: Final answer
   x = 784,154.99