Finding the Third Proportional to 123,340 and 267,416

Step by Step Solution

1. Step 1: Write the proportion equation
   123,340 : 267,416 = 267,416 : x
2. Step 2: Convert to fraction form
   123,340/267,416 = 267,416/x
3. Step 3: Cross multiply
   123,340x = 267,416 × 267,416
4. Step 4: Simplify right side
   123,340x = 71,511,317,056
5. Step 5: Solve for x
   x = 71,511,317,056/123,340
6. Step 6: Final answer
   x = 579,790.15