Finding the Third Proportional to 469,978 and 684,865

Step by Step Solution

1. Step 1: Write the proportion equation
   469,978 : 684,865 = 684,865 : x
2. Step 2: Convert to fraction form
   469,978/684,865 = 684,865/x
3. Step 3: Cross multiply
   469,978x = 684,865 × 684,865
4. Step 4: Simplify right side
   469,978x = 469,040,068,225
5. Step 5: Solve for x
   x = 469,040,068,225/469,978
6. Step 6: Final answer
   x = 998,004.31