Finding the Third Proportional to 85,922 and 131,451

Step by Step Solution

1. Step 1: Write the proportion equation
   85,922 : 131,451 = 131,451 : x
2. Step 2: Convert to fraction form
   85,922/131,451 = 131,451/x
3. Step 3: Cross multiply
   85,922x = 131,451 × 131,451
4. Step 4: Simplify right side
   85,922x = 17,279,365,401
5. Step 5: Solve for x
   x = 17,279,365,401/85,922
6. Step 6: Final answer
   x = 201,105.25