Finding the Third Proportional to 57,413 and 123,130.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,413 : 123,130.50 = 123,130.50 : x
2. Step 2: Convert to fraction form
   57,413/123,130.50 = 123,130.50/x
3. Step 3: Cross multiply
   57,413x = 123,130.50 × 123,130.50
4. Step 4: Simplify right side
   57,413x = 15,161,120,030.25
5. Step 5: Solve for x
   x = 15,161,120,030.25/57,413
6. Step 6: Final answer
   x = 264,071.20