Finding the Third Proportional to 485,980 and 684,068

Step by Step Solution

1. Step 1: Write the proportion equation
   485,980 : 684,068 = 684,068 : x
2. Step 2: Convert to fraction form
   485,980/684,068 = 684,068/x
3. Step 3: Cross multiply
   485,980x = 684,068 × 684,068
4. Step 4: Simplify right side
   485,980x = 467,949,028,624
5. Step 5: Solve for x
   x = 467,949,028,624/485,980
6. Step 6: Final answer
   x = 962,897.71