Finding the Third Proportional to 565.31 and 846.56

Step by Step Solution

1. Step 1: Write the proportion equation
   565.31 : 846.56 = 846.56 : x
2. Step 2: Convert to fraction form
   565.31/846.56 = 846.56/x
3. Step 3: Cross multiply
   565.31x = 846.56 × 846.56
4. Step 4: Simplify right side
   565.31x = 716,668.07
5. Step 5: Solve for x
   x = 716,668.07/565.31
6. Step 6: Final answer
   x = 1,267.74