Finding the Third Proportional to 81,162 and 113,514.75

Step by Step Solution

1. Step 1: Write the proportion equation
   81,162 : 113,514.75 = 113,514.75 : x
2. Step 2: Convert to fraction form
   81,162/113,514.75 = 113,514.75/x
3. Step 3: Cross multiply
   81,162x = 113,514.75 × 113,514.75
4. Step 4: Simplify right side
   81,162x = 12,885,598,467.56
5. Step 5: Solve for x
   x = 12,885,598,467.56/81,162
6. Step 6: Final answer
   x = 158,763.93