Finding the Third Proportional to 259,056 and 399,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,056 : 399,658.50 = 399,658.50 : x
2. Step 2: Convert to fraction form
   259,056/399,658.50 = 399,658.50/x
3. Step 3: Cross multiply
   259,056x = 399,658.50 × 399,658.50
4. Step 4: Simplify right side
   259,056x = 159,726,916,622.25
5. Step 5: Solve for x
   x = 159,726,916,622.25/259,056
6. Step 6: Final answer
   x = 616,572.93