Finding the Third Proportional to 123,502 and 266,204

Step by Step Solution

1. Step 1: Write the proportion equation
   123,502 : 266,204 = 266,204 : x
2. Step 2: Convert to fraction form
   123,502/266,204 = 266,204/x
3. Step 3: Cross multiply
   123,502x = 266,204 × 266,204
4. Step 4: Simplify right side
   123,502x = 70,864,569,616
5. Step 5: Solve for x
   x = 70,864,569,616/123,502
6. Step 6: Final answer
   x = 573,792.89