Finding the Third Proportional to 458,088 and 685,026

Step by Step Solution

1. Step 1: Write the proportion equation
   458,088 : 685,026 = 685,026 : x
2. Step 2: Convert to fraction form
   458,088/685,026 = 685,026/x
3. Step 3: Cross multiply
   458,088x = 685,026 × 685,026
4. Step 4: Simplify right side
   458,088x = 469,260,620,676
5. Step 5: Solve for x
   x = 469,260,620,676/458,088
6. Step 6: Final answer
   x = 1,024,389.68