Finding the Third Proportional to 356,584 and 485,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   356,584 : 485,664.50 = 485,664.50 : x
2. Step 2: Convert to fraction form
   356,584/485,664.50 = 485,664.50/x
3. Step 3: Cross multiply
   356,584x = 485,664.50 × 485,664.50
4. Step 4: Simplify right side
   356,584x = 235,870,006,560.25
5. Step 5: Solve for x
   x = 235,870,006,560.25/356,584
6. Step 6: Final answer
   x = 661,471.09