Finding the Third Proportional to 123,648 and 269,376

Step by Step Solution

1. Step 1: Write the proportion equation
   123,648 : 269,376 = 269,376 : x
2. Step 2: Convert to fraction form
   123,648/269,376 = 269,376/x
3. Step 3: Cross multiply
   123,648x = 269,376 × 269,376
4. Step 4: Simplify right side
   123,648x = 72,563,429,376
5. Step 5: Solve for x
   x = 72,563,429,376/123,648
6. Step 6: Final answer
   x = 586,854.86