Finding the Third Proportional to 123,651 and 266,502

Step by Step Solution

1. Step 1: Write the proportion equation
   123,651 : 266,502 = 266,502 : x
2. Step 2: Convert to fraction form
   123,651/266,502 = 266,502/x
3. Step 3: Cross multiply
   123,651x = 266,502 × 266,502
4. Step 4: Simplify right side
   123,651x = 71,023,316,004
5. Step 5: Solve for x
   x = 71,023,316,004/123,651
6. Step 6: Final answer
   x = 574,385.29