Finding the Third Proportional to 113,760 and 156,816

Step by Step Solution

1. Step 1: Write the proportion equation
   113,760 : 156,816 = 156,816 : x
2. Step 2: Convert to fraction form
   113,760/156,816 = 156,816/x
3. Step 3: Cross multiply
   113,760x = 156,816 × 156,816
4. Step 4: Simplify right side
   113,760x = 24,591,257,856
5. Step 5: Solve for x
   x = 24,591,257,856/113,760
6. Step 6: Final answer
   x = 216,167.88