Finding the Third Proportional to 181,302 and 398,500

Step by Step Solution

1. Step 1: Write the proportion equation
   181,302 : 398,500 = 398,500 : x
2. Step 2: Convert to fraction form
   181,302/398,500 = 398,500/x
3. Step 3: Cross multiply
   181,302x = 398,500 × 398,500
4. Step 4: Simplify right side
   181,302x = 158,802,250,000
5. Step 5: Solve for x
   x = 158,802,250,000/181,302
6. Step 6: Final answer
   x = 875,899.05