Finding the Third Proportional to 329,265 and 492,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   329,265 : 492,493.50 = 492,493.50 : x
2. Step 2: Convert to fraction form
   329,265/492,493.50 = 492,493.50/x
3. Step 3: Cross multiply
   329,265x = 492,493.50 × 492,493.50
4. Step 4: Simplify right side
   329,265x = 242,549,847,542.25
5. Step 5: Solve for x
   x = 242,549,847,542.25/329,265
6. Step 6: Final answer
   x = 736,640.24