Finding the Third Proportional to 199,456 and 432,142

Step by Step Solution

1. Step 1: Write the proportion equation
   199,456 : 432,142 = 432,142 : x
2. Step 2: Convert to fraction form
   199,456/432,142 = 432,142/x
3. Step 3: Cross multiply
   199,456x = 432,142 × 432,142
4. Step 4: Simplify right side
   199,456x = 186,746,708,164
5. Step 5: Solve for x
   x = 186,746,708,164/199,456
6. Step 6: Final answer
   x = 936,280.22