Finding the Third Proportional to 78,004.50 and 111,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,004.50 : 111,469.50 = 111,469.50 : x
2. Step 2: Convert to fraction form
   78,004.50/111,469.50 = 111,469.50/x
3. Step 3: Cross multiply
   78,004.50x = 111,469.50 × 111,469.50
4. Step 4: Simplify right side
   78,004.50x = 12,425,449,430.25
5. Step 5: Solve for x
   x = 12,425,449,430.25/78,004.50
6. Step 6: Final answer
   x = 159,291.44