Finding the Third Proportional to 85,684 and 131,790

Step by Step Solution

1. Step 1: Write the proportion equation
   85,684 : 131,790 = 131,790 : x
2. Step 2: Convert to fraction form
   85,684/131,790 = 131,790/x
3. Step 3: Cross multiply
   85,684x = 131,790 × 131,790
4. Step 4: Simplify right side
   85,684x = 17,368,604,100
5. Step 5: Solve for x
   x = 17,368,604,100/85,684
6. Step 6: Final answer
   x = 202,705.34