Finding the Third Proportional to 57,565 and 123,878

Step by Step Solution

1. Step 1: Write the proportion equation
   57,565 : 123,878 = 123,878 : x
2. Step 2: Convert to fraction form
   57,565/123,878 = 123,878/x
3. Step 3: Cross multiply
   57,565x = 123,878 × 123,878
4. Step 4: Simplify right side
   57,565x = 15,345,758,884
5. Step 5: Solve for x
   x = 15,345,758,884/57,565
6. Step 6: Final answer
   x = 266,581.41