Finding the Third Proportional to 80,820 and 175,464

Step by Step Solution

1. Step 1: Write the proportion equation
   80,820 : 175,464 = 175,464 : x
2. Step 2: Convert to fraction form
   80,820/175,464 = 175,464/x
3. Step 3: Cross multiply
   80,820x = 175,464 × 175,464
4. Step 4: Simplify right side
   80,820x = 30,787,615,296
5. Step 5: Solve for x
   x = 30,787,615,296/80,820
6. Step 6: Final answer
   x = 380,940.55