Finding the Third Proportional to 90,772 and 204,966

Step by Step Solution

1. Step 1: Write the proportion equation
   90,772 : 204,966 = 204,966 : x
2. Step 2: Convert to fraction form
   90,772/204,966 = 204,966/x
3. Step 3: Cross multiply
   90,772x = 204,966 × 204,966
4. Step 4: Simplify right side
   90,772x = 42,011,061,156
5. Step 5: Solve for x
   x = 42,011,061,156/90,772
6. Step 6: Final answer
   x = 462,819.60