Finding the Third Proportional to 59,383.50 and 123,681

Step by Step Solution

1. Step 1: Write the proportion equation
   59,383.50 : 123,681 = 123,681 : x
2. Step 2: Convert to fraction form
   59,383.50/123,681 = 123,681/x
3. Step 3: Cross multiply
   59,383.50x = 123,681 × 123,681
4. Step 4: Simplify right side
   59,383.50x = 15,296,989,761
5. Step 5: Solve for x
   x = 15,296,989,761/59,383.50
6. Step 6: Final answer
   x = 257,596.63