Finding the Third Proportional to 85,832 and 113,132

Step by Step Solution

1. Step 1: Write the proportion equation
   85,832 : 113,132 = 113,132 : x
2. Step 2: Convert to fraction form
   85,832/113,132 = 113,132/x
3. Step 3: Cross multiply
   85,832x = 113,132 × 113,132
4. Step 4: Simplify right side
   85,832x = 12,798,849,424
5. Step 5: Solve for x
   x = 12,798,849,424/85,832
6. Step 6: Final answer
   x = 149,115.13