Finding the Third Proportional to 185,008 and 398,072

Step by Step Solution

1. Step 1: Write the proportion equation
   185,008 : 398,072 = 398,072 : x
2. Step 2: Convert to fraction form
   185,008/398,072 = 398,072/x
3. Step 3: Cross multiply
   185,008x = 398,072 × 398,072
4. Step 4: Simplify right side
   185,008x = 158,461,317,184
5. Step 5: Solve for x
   x = 158,461,317,184/185,008
6. Step 6: Final answer
   x = 856,510.62