Finding the Third Proportional to 200,848 and 428,384

Step by Step Solution

1. Step 1: Write the proportion equation
   200,848 : 428,384 = 428,384 : x
2. Step 2: Convert to fraction form
   200,848/428,384 = 428,384/x
3. Step 3: Cross multiply
   200,848x = 428,384 × 428,384
4. Step 4: Simplify right side
   200,848x = 183,512,851,456
5. Step 5: Solve for x
   x = 183,512,851,456/200,848
6. Step 6: Final answer
   x = 913,690.21