Finding the Third Proportional to 80,434 and 176,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,434 : 176,622.50 = 176,622.50 : x
2. Step 2: Convert to fraction form
   80,434/176,622.50 = 176,622.50/x
3. Step 3: Cross multiply
   80,434x = 176,622.50 × 176,622.50
4. Step 4: Simplify right side
   80,434x = 31,195,507,506.25
5. Step 5: Solve for x
   x = 31,195,507,506.25/80,434
6. Step 6: Final answer
   x = 387,839.81