Finding the Third Proportional to 185,714 and 400,984

Step by Step Solution

1. Step 1: Write the proportion equation
   185,714 : 400,984 = 400,984 : x
2. Step 2: Convert to fraction form
   185,714/400,984 = 400,984/x
3. Step 3: Cross multiply
   185,714x = 400,984 × 400,984
4. Step 4: Simplify right side
   185,714x = 160,788,168,256
5. Step 5: Solve for x
   x = 160,788,168,256/185,714
6. Step 6: Final answer
   x = 865,783.78