Finding the Third Proportional to 587.81 and 838.69

Step by Step Solution

1. Step 1: Write the proportion equation
   587.81 : 838.69 = 838.69 : x
2. Step 2: Convert to fraction form
   587.81/838.69 = 838.69/x
3. Step 3: Cross multiply
   587.81x = 838.69 × 838.69
4. Step 4: Simplify right side
   587.81x = 703,396.72
5. Step 5: Solve for x
   x = 703,396.72/587.81
6. Step 6: Final answer
   x = 1,196.63