Finding the Third Proportional to 260,521.50 and 389,688

Step by Step Solution

1. Step 1: Write the proportion equation
   260,521.50 : 389,688 = 389,688 : x
2. Step 2: Convert to fraction form
   260,521.50/389,688 = 389,688/x
3. Step 3: Cross multiply
   260,521.50x = 389,688 × 389,688
4. Step 4: Simplify right side
   260,521.50x = 151,856,737,344
5. Step 5: Solve for x
   x = 151,856,737,344/260,521.50
6. Step 6: Final answer
   x = 582,895.22