Finding the Third Proportional to 268,869.75 and 585,156

Step by Step Solution

1. Step 1: Write the proportion equation
   268,869.75 : 585,156 = 585,156 : x
2. Step 2: Convert to fraction form
   268,869.75/585,156 = 585,156/x
3. Step 3: Cross multiply
   268,869.75x = 585,156 × 585,156
4. Step 4: Simplify right side
   268,869.75x = 342,407,544,336
5. Step 5: Solve for x
   x = 342,407,544,336/268,869.75
6. Step 6: Final answer
   x = 1,273,507.13