Finding the Third Proportional to 181,142 and 398,140

Step by Step Solution

1. Step 1: Write the proportion equation
   181,142 : 398,140 = 398,140 : x
2. Step 2: Convert to fraction form
   181,142/398,140 = 398,140/x
3. Step 3: Cross multiply
   181,142x = 398,140 × 398,140
4. Step 4: Simplify right side
   181,142x = 158,515,459,600
5. Step 5: Solve for x
   x = 158,515,459,600/181,142
6. Step 6: Final answer
   x = 875,089.49