Finding the Third Proportional to 78,016.50 and 115,566.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78,016.50 : 115,566.75 = 115,566.75 : x
2. Step 2: Convert to fraction form
   78,016.50/115,566.75 = 115,566.75/x
3. Step 3: Cross multiply
   78,016.50x = 115,566.75 × 115,566.75
4. Step 4: Simplify right side
   78,016.50x = 13,355,673,705.56
5. Step 5: Solve for x
   x = 13,355,673,705.56/78,016.50
6. Step 6: Final answer
   x = 171,190.37