Finding the Third Proportional to 200,983 and 431,105

Step by Step Solution

1. Step 1: Write the proportion equation
   200,983 : 431,105 = 431,105 : x
2. Step 2: Convert to fraction form
   200,983/431,105 = 431,105/x
3. Step 3: Cross multiply
   200,983x = 431,105 × 431,105
4. Step 4: Simplify right side
   200,983x = 185,851,521,025
5. Step 5: Solve for x
   x = 185,851,521,025/200,983
6. Step 6: Final answer
   x = 924,712.64