Finding the Third Proportional to 78,016.50 and 117,723.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78,016.50 : 117,723.75 = 117,723.75 : x
2. Step 2: Convert to fraction form
   78,016.50/117,723.75 = 117,723.75/x
3. Step 3: Cross multiply
   78,016.50x = 117,723.75 × 117,723.75
4. Step 4: Simplify right side
   78,016.50x = 13,858,881,314.06
5. Step 5: Solve for x
   x = 13,858,881,314.06/78,016.50
6. Step 6: Final answer
   x = 177,640.39