Finding the Third Proportional to 80,654 and 175,110

Step by Step Solution

1. Step 1: Write the proportion equation
   80,654 : 175,110 = 175,110 : x
2. Step 2: Convert to fraction form
   80,654/175,110 = 175,110/x
3. Step 3: Cross multiply
   80,654x = 175,110 × 175,110
4. Step 4: Simplify right side
   80,654x = 30,663,512,100
5. Step 5: Solve for x
   x = 30,663,512,100/80,654
6. Step 6: Final answer
   x = 380,185.88