Finding the Third Proportional to 40,509 and 84,244.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,509 : 84,244.50 = 84,244.50 : x
2. Step 2: Convert to fraction form
   40,509/84,244.50 = 84,244.50/x
3. Step 3: Cross multiply
   40,509x = 84,244.50 × 84,244.50
4. Step 4: Simplify right side
   40,509x = 7,097,135,780.25
5. Step 5: Solve for x
   x = 7,097,135,780.25/40,509
6. Step 6: Final answer
   x = 175,198.99