Finding the Third Proportional to 59,408 and 123,712.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,408 : 123,712.50 = 123,712.50 : x
2. Step 2: Convert to fraction form
   59,408/123,712.50 = 123,712.50/x
3. Step 3: Cross multiply
   59,408x = 123,712.50 × 123,712.50
4. Step 4: Simplify right side
   59,408x = 15,304,782,656.25
5. Step 5: Solve for x
   x = 15,304,782,656.25/59,408
6. Step 6: Final answer
   x = 257,621.58