Finding the Third Proportional to 123,023 and 267,369

Step by Step Solution

1. Step 1: Write the proportion equation
   123,023 : 267,369 = 267,369 : x
2. Step 2: Convert to fraction form
   123,023/267,369 = 267,369/x
3. Step 3: Cross multiply
   123,023x = 267,369 × 267,369
4. Step 4: Simplify right side
   123,023x = 71,486,182,161
5. Step 5: Solve for x
   x = 71,486,182,161/123,023
6. Step 6: Final answer
   x = 581,079.82