Finding the Third Proportional to 123,413 and 266,020

Step by Step Solution

1. Step 1: Write the proportion equation
   123,413 : 266,020 = 266,020 : x
2. Step 2: Convert to fraction form
   123,413/266,020 = 266,020/x
3. Step 3: Cross multiply
   123,413x = 266,020 × 266,020
4. Step 4: Simplify right side
   123,413x = 70,766,640,400
5. Step 5: Solve for x
   x = 70,766,640,400/123,413
6. Step 6: Final answer
   x = 573,413.18