Finding the Third Proportional to 485,978 and 684,060

Step by Step Solution

1. Step 1: Write the proportion equation
   485,978 : 684,060 = 684,060 : x
2. Step 2: Convert to fraction form
   485,978/684,060 = 684,060/x
3. Step 3: Cross multiply
   485,978x = 684,060 × 684,060
4. Step 4: Simplify right side
   485,978x = 467,938,083,600
5. Step 5: Solve for x
   x = 467,938,083,600/485,978
6. Step 6: Final answer
   x = 962,879.15