Finding the Third Proportional to 80,564 and 113,148

Step by Step Solution

1. Step 1: Write the proportion equation
   80,564 : 113,148 = 113,148 : x
2. Step 2: Convert to fraction form
   80,564/113,148 = 113,148/x
3. Step 3: Cross multiply
   80,564x = 113,148 × 113,148
4. Step 4: Simplify right side
   80,564x = 12,802,469,904
5. Step 5: Solve for x
   x = 12,802,469,904/80,564
6. Step 6: Final answer
   x = 158,910.55