Finding the Third Proportional to 123,502 and 266,058

Step by Step Solution

1. Step 1: Write the proportion equation
   123,502 : 266,058 = 266,058 : x
2. Step 2: Convert to fraction form
   123,502/266,058 = 266,058/x
3. Step 3: Cross multiply
   123,502x = 266,058 × 266,058
4. Step 4: Simplify right side
   123,502x = 70,786,859,364
5. Step 5: Solve for x
   x = 70,786,859,364/123,502
6. Step 6: Final answer
   x = 573,163.67