Finding the Third Proportional to 200,978 and 431,096

Step by Step Solution

1. Step 1: Write the proportion equation
   200,978 : 431,096 = 431,096 : x
2. Step 2: Convert to fraction form
   200,978/431,096 = 431,096/x
3. Step 3: Cross multiply
   200,978x = 431,096 × 431,096
4. Step 4: Simplify right side
   200,978x = 185,843,761,216
5. Step 5: Solve for x
   x = 185,843,761,216/200,978
6. Step 6: Final answer
   x = 924,697.04