Finding the Third Proportional to 81,426.50 and 179,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,426.50 : 179,417.50 = 179,417.50 : x
2. Step 2: Convert to fraction form
   81,426.50/179,417.50 = 179,417.50/x
3. Step 3: Cross multiply
   81,426.50x = 179,417.50 × 179,417.50
4. Step 4: Simplify right side
   81,426.50x = 32,190,639,306.25
5. Step 5: Solve for x
   x = 32,190,639,306.25/81,426.50
6. Step 6: Final answer
   x = 395,333.70