Finding the Third Proportional to 204,966 and 478,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,966 : 478,724.50 = 478,724.50 : x
2. Step 2: Convert to fraction form
   204,966/478,724.50 = 478,724.50/x
3. Step 3: Cross multiply
   204,966x = 478,724.50 × 478,724.50
4. Step 4: Simplify right side
   204,966x = 229,177,146,900.25
5. Step 5: Solve for x
   x = 229,177,146,900.25/204,966
6. Step 6: Final answer
   x = 1,118,122.75