Finding the Third Proportional to 85,716 and 131,832

Step by Step Solution

1. Step 1: Write the proportion equation
   85,716 : 131,832 = 131,832 : x
2. Step 2: Convert to fraction form
   85,716/131,832 = 131,832/x
3. Step 3: Cross multiply
   85,716x = 131,832 × 131,832
4. Step 4: Simplify right side
   85,716x = 17,379,676,224
5. Step 5: Solve for x
   x = 17,379,676,224/85,716
6. Step 6: Final answer
   x = 202,758.83