Finding the Third Proportional to 81,469 and 113,815

Step by Step Solution

1. Step 1: Write the proportion equation
   81,469 : 113,815 = 113,815 : x
2. Step 2: Convert to fraction form
   81,469/113,815 = 113,815/x
3. Step 3: Cross multiply
   81,469x = 113,815 × 113,815
4. Step 4: Simplify right side
   81,469x = 12,953,854,225
5. Step 5: Solve for x
   x = 12,953,854,225/81,469
6. Step 6: Final answer
   x = 159,003.48