Finding the Third Proportional to 181,701 and 398,034

Step by Step Solution

1. Step 1: Write the proportion equation
   181,701 : 398,034 = 398,034 : x
2. Step 2: Convert to fraction form
   181,701/398,034 = 398,034/x
3. Step 3: Cross multiply
   181,701x = 398,034 × 398,034
4. Step 4: Simplify right side
   181,701x = 158,431,065,156
5. Step 5: Solve for x
   x = 158,431,065,156/181,701
6. Step 6: Final answer
   x = 871,932.82