Finding the Third Proportional to 123,074 and 267,748

Step by Step Solution

1. Step 1: Write the proportion equation
   123,074 : 267,748 = 267,748 : x
2. Step 2: Convert to fraction form
   123,074/267,748 = 267,748/x
3. Step 3: Cross multiply
   123,074x = 267,748 × 267,748
4. Step 4: Simplify right side
   123,074x = 71,688,991,504
5. Step 5: Solve for x
   x = 71,688,991,504/123,074
6. Step 6: Final answer
   x = 582,486.89