Finding the Third Proportional to 57,224 and 123,952

Step by Step Solution

1. Step 1: Write the proportion equation
   57,224 : 123,952 = 123,952 : x
2. Step 2: Convert to fraction form
   57,224/123,952 = 123,952/x
3. Step 3: Cross multiply
   57,224x = 123,952 × 123,952
4. Step 4: Simplify right side
   57,224x = 15,364,098,304
5. Step 5: Solve for x
   x = 15,364,098,304/57,224
6. Step 6: Final answer
   x = 268,490.46