Finding the Third Proportional to 80,301 and 171,714

Step by Step Solution

1. Step 1: Write the proportion equation
   80,301 : 171,714 = 171,714 : x
2. Step 2: Convert to fraction form
   80,301/171,714 = 171,714/x
3. Step 3: Cross multiply
   80,301x = 171,714 × 171,714
4. Step 4: Simplify right side
   80,301x = 29,485,697,796
5. Step 5: Solve for x
   x = 29,485,697,796/80,301
6. Step 6: Final answer
   x = 367,189.67