Finding the Third Proportional to 504.23 and 1,085.71

Step by Step Solution

1. Step 1: Write the proportion equation
   504.23 : 1,085.71 = 1,085.71 : x
2. Step 2: Convert to fraction form
   504.23/1,085.71 = 1,085.71/x
3. Step 3: Cross multiply
   504.23x = 1,085.71 × 1,085.71
4. Step 4: Simplify right side
   504.23x = 1,178,772.48
5. Step 5: Solve for x
   x = 1,178,772.48/504.23
6. Step 6: Final answer
   x = 2,337.77