Finding the Third Proportional to 215,728 and 458,672

Step by Step Solution

1. Step 1: Write the proportion equation
   215,728 : 458,672 = 458,672 : x
2. Step 2: Convert to fraction form
   215,728/458,672 = 458,672/x
3. Step 3: Cross multiply
   215,728x = 458,672 × 458,672
4. Step 4: Simplify right side
   215,728x = 210,380,003,584
5. Step 5: Solve for x
   x = 210,380,003,584/215,728
6. Step 6: Final answer
   x = 975,209.54