Finding the Third Proportional to 76,496 and 113,928

Step by Step Solution

1. Step 1: Write the proportion equation
   76,496 : 113,928 = 113,928 : x
2. Step 2: Convert to fraction form
   76,496/113,928 = 113,928/x
3. Step 3: Cross multiply
   76,496x = 113,928 × 113,928
4. Step 4: Simplify right side
   76,496x = 12,979,589,184
5. Step 5: Solve for x
   x = 12,979,589,184/76,496
6. Step 6: Final answer
   x = 169,676.70