Finding the Third Proportional to 80,352 and 113,832

Step by Step Solution

1. Step 1: Write the proportion equation
   80,352 : 113,832 = 113,832 : x
2. Step 2: Convert to fraction form
   80,352/113,832 = 113,832/x
3. Step 3: Cross multiply
   80,352x = 113,832 × 113,832
4. Step 4: Simplify right side
   80,352x = 12,957,724,224
5. Step 5: Solve for x
   x = 12,957,724,224/80,352
6. Step 6: Final answer
   x = 161,262