Finding the Third Proportional to 123,130 and 267,826

Step by Step Solution

1. Step 1: Write the proportion equation
   123,130 : 267,826 = 267,826 : x
2. Step 2: Convert to fraction form
   123,130/267,826 = 267,826/x
3. Step 3: Cross multiply
   123,130x = 267,826 × 267,826
4. Step 4: Simplify right side
   123,130x = 71,730,766,276
5. Step 5: Solve for x
   x = 71,730,766,276/123,130
6. Step 6: Final answer
   x = 582,561.25