Finding the Third Proportional to 85,570 and 133,020

Step by Step Solution

1. Step 1: Write the proportion equation
   85,570 : 133,020 = 133,020 : x
2. Step 2: Convert to fraction form
   85,570/133,020 = 133,020/x
3. Step 3: Cross multiply
   85,570x = 133,020 × 133,020
4. Step 4: Simplify right side
   85,570x = 17,694,320,400
5. Step 5: Solve for x
   x = 17,694,320,400/85,570
6. Step 6: Final answer
   x = 206,781.82