Finding the Third Proportional to 458,120 and 685,064

Step by Step Solution

1. Step 1: Write the proportion equation
   458,120 : 685,064 = 685,064 : x
2. Step 2: Convert to fraction form
   458,120/685,064 = 685,064/x
3. Step 3: Cross multiply
   458,120x = 685,064 × 685,064
4. Step 4: Simplify right side
   458,120x = 469,312,684,096
5. Step 5: Solve for x
   x = 469,312,684,096/458,120
6. Step 6: Final answer
   x = 1,024,431.77