Finding the Third Proportional to 80,835 and 175,660.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,835 : 175,660.50 = 175,660.50 : x
2. Step 2: Convert to fraction form
   80,835/175,660.50 = 175,660.50/x
3. Step 3: Cross multiply
   80,835x = 175,660.50 × 175,660.50
4. Step 4: Simplify right side
   80,835x = 30,856,611,260.25
5. Step 5: Solve for x
   x = 30,856,611,260.25/80,835
6. Step 6: Final answer
   x = 381,723.40