Finding the Third Proportional to 85,866 and 131,356

Step by Step Solution

1. Step 1: Write the proportion equation
   85,866 : 131,356 = 131,356 : x
2. Step 2: Convert to fraction form
   85,866/131,356 = 131,356/x
3. Step 3: Cross multiply
   85,866x = 131,356 × 131,356
4. Step 4: Simplify right side
   85,866x = 17,254,398,736
5. Step 5: Solve for x
   x = 17,254,398,736/85,866
6. Step 6: Final answer
   x = 200,945.64