Finding the Third Proportional to 95,022 and 206,584

Step by Step Solution

1. Step 1: Write the proportion equation
   95,022 : 206,584 = 206,584 : x
2. Step 2: Convert to fraction form
   95,022/206,584 = 206,584/x
3. Step 3: Cross multiply
   95,022x = 206,584 × 206,584
4. Step 4: Simplify right side
   95,022x = 42,676,949,056
5. Step 5: Solve for x
   x = 42,676,949,056/95,022
6. Step 6: Final answer
   x = 449,127.03