Finding the Third Proportional to 200,505 and 431,142

Step by Step Solution

1. Step 1: Write the proportion equation
   200,505 : 431,142 = 431,142 : x
2. Step 2: Convert to fraction form
   200,505/431,142 = 431,142/x
3. Step 3: Cross multiply
   200,505x = 431,142 × 431,142
4. Step 4: Simplify right side
   200,505x = 185,883,424,164
5. Step 5: Solve for x
   x = 185,883,424,164/200,505
6. Step 6: Final answer
   x = 927,076.25