Finding the Third Proportional to 57,454 and 123,659

Step by Step Solution

1. Step 1: Write the proportion equation
   57,454 : 123,659 = 123,659 : x
2. Step 2: Convert to fraction form
   57,454/123,659 = 123,659/x
3. Step 3: Cross multiply
   57,454x = 123,659 × 123,659
4. Step 4: Simplify right side
   57,454x = 15,291,548,281
5. Step 5: Solve for x
   x = 15,291,548,281/57,454
6. Step 6: Final answer
   x = 266,152.89