Finding the Third Proportional to 78,471 and 100,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,471 : 100,754.50 = 100,754.50 : x
2. Step 2: Convert to fraction form
   78,471/100,754.50 = 100,754.50/x
3. Step 3: Cross multiply
   78,471x = 100,754.50 × 100,754.50
4. Step 4: Simplify right side
   78,471x = 10,151,469,270.25
5. Step 5: Solve for x
   x = 10,151,469,270.25/78,471
6. Step 6: Final answer
   x = 129,365.87