Finding the Third Proportional to 458,068 and 684,996

Step by Step Solution

1. Step 1: Write the proportion equation
   458,068 : 684,996 = 684,996 : x
2. Step 2: Convert to fraction form
   458,068/684,996 = 684,996/x
3. Step 3: Cross multiply
   458,068x = 684,996 × 684,996
4. Step 4: Simplify right side
   458,068x = 469,219,520,016
5. Step 5: Solve for x
   x = 469,219,520,016/458,068
6. Step 6: Final answer
   x = 1,024,344.68