Finding the Third Proportional to 179,066 and 382,714

Step by Step Solution

1. Step 1: Write the proportion equation
   179,066 : 382,714 = 382,714 : x
2. Step 2: Convert to fraction form
   179,066/382,714 = 382,714/x
3. Step 3: Cross multiply
   179,066x = 382,714 × 382,714
4. Step 4: Simplify right side
   179,066x = 146,470,005,796
5. Step 5: Solve for x
   x = 146,470,005,796/179,066
6. Step 6: Final answer
   x = 817,966.59