Finding the Third Proportional to 123,648 and 266,496

Step by Step Solution

1. Step 1: Write the proportion equation
   123,648 : 266,496 = 266,496 : x
2. Step 2: Convert to fraction form
   123,648/266,496 = 266,496/x
3. Step 3: Cross multiply
   123,648x = 266,496 × 266,496
4. Step 4: Simplify right side
   123,648x = 71,020,118,016
5. Step 5: Solve for x
   x = 71,020,118,016/123,648
6. Step 6: Final answer
   x = 574,373.37