Finding the Third Proportional to 57,413 and 123,132

Step by Step Solution

1. Step 1: Write the proportion equation
   57,413 : 123,132 = 123,132 : x
2. Step 2: Convert to fraction form
   57,413/123,132 = 123,132/x
3. Step 3: Cross multiply
   57,413x = 123,132 × 123,132
4. Step 4: Simplify right side
   57,413x = 15,161,489,424
5. Step 5: Solve for x
   x = 15,161,489,424/57,413
6. Step 6: Final answer
   x = 264,077.64