Finding the Third Proportional to 78,016.50 and 115,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,016.50 : 115,870.50 = 115,870.50 : x
2. Step 2: Convert to fraction form
   78,016.50/115,870.50 = 115,870.50/x
3. Step 3: Cross multiply
   78,016.50x = 115,870.50 × 115,870.50
4. Step 4: Simplify right side
   78,016.50x = 13,425,972,770.25
5. Step 5: Solve for x
   x = 13,425,972,770.25/78,016.50
6. Step 6: Final answer
   x = 172,091.45