Finding the Third Proportional to 39,643.50 and 83,178.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,643.50 : 83,178.75 = 83,178.75 : x
2. Step 2: Convert to fraction form
   39,643.50/83,178.75 = 83,178.75/x
3. Step 3: Cross multiply
   39,643.50x = 83,178.75 × 83,178.75
4. Step 4: Simplify right side
   39,643.50x = 6,918,704,451.56
5. Step 5: Solve for x
   x = 6,918,704,451.56/39,643.50
6. Step 6: Final answer
   x = 174,523.05