Finding the Third Proportional to 122,414 and 267,290

Step by Step Solution

1. Step 1: Write the proportion equation
   122,414 : 267,290 = 267,290 : x
2. Step 2: Convert to fraction form
   122,414/267,290 = 267,290/x
3. Step 3: Cross multiply
   122,414x = 267,290 × 267,290
4. Step 4: Simplify right side
   122,414x = 71,443,944,100
5. Step 5: Solve for x
   x = 71,443,944,100/122,414
6. Step 6: Final answer
   x = 583,625.60