Finding the Third Proportional to 123,096 and 266,562

Step by Step Solution

1. Step 1: Write the proportion equation
   123,096 : 266,562 = 266,562 : x
2. Step 2: Convert to fraction form
   123,096/266,562 = 266,562/x
3. Step 3: Cross multiply
   123,096x = 266,562 × 266,562
4. Step 4: Simplify right side
   123,096x = 71,055,299,844
5. Step 5: Solve for x
   x = 71,055,299,844/123,096
6. Step 6: Final answer
   x = 577,234.84