Finding the Third Proportional to 40,434 and 83,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,434 : 83,461.50 = 83,461.50 : x
2. Step 2: Convert to fraction form
   40,434/83,461.50 = 83,461.50/x
3. Step 3: Cross multiply
   40,434x = 83,461.50 × 83,461.50
4. Step 4: Simplify right side
   40,434x = 6,965,821,982.25
5. Step 5: Solve for x
   x = 6,965,821,982.25/40,434
6. Step 6: Final answer
   x = 172,276.35