Finding the Third Proportional to 123,101 and 267,771

Step by Step Solution

1. Step 1: Write the proportion equation
   123,101 : 267,771 = 267,771 : x
2. Step 2: Convert to fraction form
   123,101/267,771 = 267,771/x
3. Step 3: Cross multiply
   123,101x = 267,771 × 267,771
4. Step 4: Simplify right side
   123,101x = 71,701,308,441
5. Step 5: Solve for x
   x = 71,701,308,441/123,101
6. Step 6: Final answer
   x = 582,459.19