Finding the Third Proportional to 123,558 and 269,292

Step by Step Solution

1. Step 1: Write the proportion equation
   123,558 : 269,292 = 269,292 : x
2. Step 2: Convert to fraction form
   123,558/269,292 = 269,292/x
3. Step 3: Cross multiply
   123,558x = 269,292 × 269,292
4. Step 4: Simplify right side
   123,558x = 72,518,181,264
5. Step 5: Solve for x
   x = 72,518,181,264/123,558
6. Step 6: Final answer
   x = 586,916.11