Finding the Third Proportional to 123,377 and 267,895

Step by Step Solution

1. Step 1: Write the proportion equation
   123,377 : 267,895 = 267,895 : x
2. Step 2: Convert to fraction form
   123,377/267,895 = 267,895/x
3. Step 3: Cross multiply
   123,377x = 267,895 × 267,895
4. Step 4: Simplify right side
   123,377x = 71,767,731,025
5. Step 5: Solve for x
   x = 71,767,731,025/123,377
6. Step 6: Final answer
   x = 581,694.57