Finding the Third Proportional to 78,016.50 and 118,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,016.50 : 118,489.50 = 118,489.50 : x
2. Step 2: Convert to fraction form
   78,016.50/118,489.50 = 118,489.50/x
3. Step 3: Cross multiply
   78,016.50x = 118,489.50 × 118,489.50
4. Step 4: Simplify right side
   78,016.50x = 14,039,761,610.25
5. Step 5: Solve for x
   x = 14,039,761,610.25/78,016.50
6. Step 6: Final answer
   x = 179,958.88