Finding the Third Proportional to 78,015 and 114,245.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,015 : 114,245.50 = 114,245.50 : x
2. Step 2: Convert to fraction form
   78,015/114,245.50 = 114,245.50/x
3. Step 3: Cross multiply
   78,015x = 114,245.50 × 114,245.50
4. Step 4: Simplify right side
   78,015x = 13,052,034,270.25
5. Step 5: Solve for x
   x = 13,052,034,270.25/78,015
6. Step 6: Final answer
   x = 167,301.60