Finding the Third Proportional to 123,312 and 269,451

Step by Step Solution

1. Step 1: Write the proportion equation
   123,312 : 269,451 = 269,451 : x
2. Step 2: Convert to fraction form
   123,312/269,451 = 269,451/x
3. Step 3: Cross multiply
   123,312x = 269,451 × 269,451
4. Step 4: Simplify right side
   123,312x = 72,603,841,401
5. Step 5: Solve for x
   x = 72,603,841,401/123,312
6. Step 6: Final answer
   x = 588,781.64