Finding the Third Proportional to 39,744.50 and 84,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,744.50 : 84,227.50 = 84,227.50 : x
2. Step 2: Convert to fraction form
   39,744.50/84,227.50 = 84,227.50/x
3. Step 3: Cross multiply
   39,744.50x = 84,227.50 × 84,227.50
4. Step 4: Simplify right side
   39,744.50x = 7,094,271,756.25
5. Step 5: Solve for x
   x = 7,094,271,756.25/39,744.50
6. Step 6: Final answer
   x = 178,496.94