Finding the Third Proportional to 458,096 and 685,038

Step by Step Solution

1. Step 1: Write the proportion equation
   458,096 : 685,038 = 685,038 : x
2. Step 2: Convert to fraction form
   458,096/685,038 = 685,038/x
3. Step 3: Cross multiply
   458,096x = 685,038 × 685,038
4. Step 4: Simplify right side
   458,096x = 469,277,061,444
5. Step 5: Solve for x
   x = 469,277,061,444/458,096
6. Step 6: Final answer
   x = 1,024,407.68