Finding the Third Proportional to 458,092 and 685,032

Step by Step Solution

1. Step 1: Write the proportion equation
   458,092 : 685,032 = 685,032 : x
2. Step 2: Convert to fraction form
   458,092/685,032 = 685,032/x
3. Step 3: Cross multiply
   458,092x = 685,032 × 685,032
4. Step 4: Simplify right side
   458,092x = 469,268,841,024
5. Step 5: Solve for x
   x = 469,268,841,024/458,092
6. Step 6: Final answer
   x = 1,024,398.68