Finding the Third Proportional to 80,740 and 176,010

Step by Step Solution

1. Step 1: Write the proportion equation
   80,740 : 176,010 = 176,010 : x
2. Step 2: Convert to fraction form
   80,740/176,010 = 176,010/x
3. Step 3: Cross multiply
   80,740x = 176,010 × 176,010
4. Step 4: Simplify right side
   80,740x = 30,979,520,100
5. Step 5: Solve for x
   x = 30,979,520,100/80,740
6. Step 6: Final answer
   x = 383,694.82