Finding the Third Proportional to 59,323.50 and 123,567.75

Step by Step Solution

1. Step 1: Write the proportion equation
   59,323.50 : 123,567.75 = 123,567.75 : x
2. Step 2: Convert to fraction form
   59,323.50/123,567.75 = 123,567.75/x
3. Step 3: Cross multiply
   59,323.50x = 123,567.75 × 123,567.75
4. Step 4: Simplify right side
   59,323.50x = 15,268,988,840.06
5. Step 5: Solve for x
   x = 15,268,988,840.06/59,323.50
6. Step 6: Final answer
   x = 257,385.17