Finding the Third Proportional to 81,806.63 and 120,016.69

Step by Step Solution

1. Step 1: Write the proportion equation
   81,806.63 : 120,016.69 = 120,016.69 : x
2. Step 2: Convert to fraction form
   81,806.63/120,016.69 = 120,016.69/x
3. Step 3: Cross multiply
   81,806.63x = 120,016.69 × 120,016.69
4. Step 4: Simplify right side
   81,806.63x = 14,404,005,278.47
5. Step 5: Solve for x
   x = 14,404,005,278.47/81,806.63
6. Step 6: Final answer
   x = 176,073.82