Finding the Third Proportional to 85,870 and 131,365

Step by Step Solution

1. Step 1: Write the proportion equation
   85,870 : 131,365 = 131,365 : x
2. Step 2: Convert to fraction form
   85,870/131,365 = 131,365/x
3. Step 3: Cross multiply
   85,870x = 131,365 × 131,365
4. Step 4: Simplify right side
   85,870x = 17,256,763,225
5. Step 5: Solve for x
   x = 17,256,763,225/85,870
6. Step 6: Final answer
   x = 200,963.82