Finding the Third Proportional to 259,807.50 and 413,724

Step by Step Solution

1. Step 1: Write the proportion equation
   259,807.50 : 413,724 = 413,724 : x
2. Step 2: Convert to fraction form
   259,807.50/413,724 = 413,724/x
3. Step 3: Cross multiply
   259,807.50x = 413,724 × 413,724
4. Step 4: Simplify right side
   259,807.50x = 171,167,548,176
5. Step 5: Solve for x
   x = 171,167,548,176/259,807.50
6. Step 6: Final answer
   x = 658,824.51