Finding the Third Proportional to 185,023 and 398,112

Step by Step Solution

1. Step 1: Write the proportion equation
   185,023 : 398,112 = 398,112 : x
2. Step 2: Convert to fraction form
   185,023/398,112 = 398,112/x
3. Step 3: Cross multiply
   185,023x = 398,112 × 398,112
4. Step 4: Simplify right side
   185,023x = 158,493,164,544
5. Step 5: Solve for x
   x = 158,493,164,544/185,023
6. Step 6: Final answer
   x = 856,613.31