Finding the Third Proportional to 338,713 and 498,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,713 : 498,713.50 = 498,713.50 : x
2. Step 2: Convert to fraction form
   338,713/498,713.50 = 498,713.50/x
3. Step 3: Cross multiply
   338,713x = 498,713.50 × 498,713.50
4. Step 4: Simplify right side
   338,713x = 248,715,155,082.25
5. Step 5: Solve for x
   x = 248,715,155,082.25/338,713
6. Step 6: Final answer
   x = 734,294.68