Finding the Third Proportional to 407,147.50 and 535,398

Step by Step Solution

1. Step 1: Write the proportion equation
   407,147.50 : 535,398 = 535,398 : x
2. Step 2: Convert to fraction form
   407,147.50/535,398 = 535,398/x
3. Step 3: Cross multiply
   407,147.50x = 535,398 × 535,398
4. Step 4: Simplify right side
   407,147.50x = 286,651,018,404
5. Step 5: Solve for x
   x = 286,651,018,404/407,147.50
6. Step 6: Final answer
   x = 704,047.10