Finding the Third Proportional to 81,867 and 120,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,867 : 120,496.50 = 120,496.50 : x
2. Step 2: Convert to fraction form
   81,867/120,496.50 = 120,496.50/x
3. Step 3: Cross multiply
   81,867x = 120,496.50 × 120,496.50
4. Step 4: Simplify right side
   81,867x = 14,519,406,512.25
5. Step 5: Solve for x
   x = 14,519,406,512.25/81,867
6. Step 6: Final answer
   x = 177,353.59