Finding the Third Proportional to 85,896 and 131,406

Step by Step Solution

1. Step 1: Write the proportion equation
   85,896 : 131,406 = 131,406 : x
2. Step 2: Convert to fraction form
   85,896/131,406 = 131,406/x
3. Step 3: Cross multiply
   85,896x = 131,406 × 131,406
4. Step 4: Simplify right side
   85,896x = 17,267,536,836
5. Step 5: Solve for x
   x = 17,267,536,836/85,896
6. Step 6: Final answer
   x = 201,028.42