Finding the Third Proportional to 37,304 and 80,129.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,304 : 80,129.50 = 80,129.50 : x
2. Step 2: Convert to fraction form
   37,304/80,129.50 = 80,129.50/x
3. Step 3: Cross multiply
   37,304x = 80,129.50 × 80,129.50
4. Step 4: Simplify right side
   37,304x = 6,420,736,770.25
5. Step 5: Solve for x
   x = 6,420,736,770.25/37,304
6. Step 6: Final answer
   x = 172,119.26