Finding the Third Proportional to 123,810 and 267,324

Step by Step Solution

1. Step 1: Write the proportion equation
   123,810 : 267,324 = 267,324 : x
2. Step 2: Convert to fraction form
   123,810/267,324 = 267,324/x
3. Step 3: Cross multiply
   123,810x = 267,324 × 267,324
4. Step 4: Simplify right side
   123,810x = 71,462,120,976
5. Step 5: Solve for x
   x = 71,462,120,976/123,810
6. Step 6: Final answer
   x = 577,191.83