Finding the Third Proportional to 85,795 and 131,243

Step by Step Solution

1. Step 1: Write the proportion equation
   85,795 : 131,243 = 131,243 : x
2. Step 2: Convert to fraction form
   85,795/131,243 = 131,243/x
3. Step 3: Cross multiply
   85,795x = 131,243 × 131,243
4. Step 4: Simplify right side
   85,795x = 17,224,725,049
5. Step 5: Solve for x
   x = 17,224,725,049/85,795
6. Step 6: Final answer
   x = 200,766.07