Finding the Third Proportional to 39,150 and 83,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,150 : 83,839.50 = 83,839.50 : x
2. Step 2: Convert to fraction form
   39,150/83,839.50 = 83,839.50/x
3. Step 3: Cross multiply
   39,150x = 83,839.50 × 83,839.50
4. Step 4: Simplify right side
   39,150x = 7,029,061,760.25
5. Step 5: Solve for x
   x = 7,029,061,760.25/39,150
6. Step 6: Final answer
   x = 179,541.81