Finding the Third Proportional to 565.88 and 885.38

Step by Step Solution

1. Step 1: Write the proportion equation
   565.88 : 885.38 = 885.38 : x
2. Step 2: Convert to fraction form
   565.88/885.38 = 885.38/x
3. Step 3: Cross multiply
   565.88x = 885.38 × 885.38
4. Step 4: Simplify right side
   565.88x = 783,888.89
5. Step 5: Solve for x
   x = 783,888.89/565.88
6. Step 6: Final answer
   x = 1,385.27