Finding the Third Proportional to 59,076 and 123,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,076 : 123,133.50 = 123,133.50 : x
2. Step 2: Convert to fraction form
   59,076/123,133.50 = 123,133.50/x
3. Step 3: Cross multiply
   59,076x = 123,133.50 × 123,133.50
4. Step 4: Simplify right side
   59,076x = 15,161,858,822.25
5. Step 5: Solve for x
   x = 15,161,858,822.25/59,076
6. Step 6: Final answer
   x = 256,650.06