Finding the Third Proportional to 123,098 and 266,566

Step by Step Solution

1. Step 1: Write the proportion equation
   123,098 : 266,566 = 266,566 : x
2. Step 2: Convert to fraction form
   123,098/266,566 = 266,566/x
3. Step 3: Cross multiply
   123,098x = 266,566 × 266,566
4. Step 4: Simplify right side
   123,098x = 71,057,432,356
5. Step 5: Solve for x
   x = 71,057,432,356/123,098
6. Step 6: Final answer
   x = 577,242.79