Finding the Third Proportional to 85,640 and 131,736

Step by Step Solution

1. Step 1: Write the proportion equation
   85,640 : 131,736 = 131,736 : x
2. Step 2: Convert to fraction form
   85,640/131,736 = 131,736/x
3. Step 3: Cross multiply
   85,640x = 131,736 × 131,736
4. Step 4: Simplify right side
   85,640x = 17,354,373,696
5. Step 5: Solve for x
   x = 17,354,373,696/85,640
6. Step 6: Final answer
   x = 202,643.32