Finding the Third Proportional to 585.38 and 876.56

Step by Step Solution

1. Step 1: Write the proportion equation
   585.38 : 876.56 = 876.56 : x
2. Step 2: Convert to fraction form
   585.38/876.56 = 876.56/x
3. Step 3: Cross multiply
   585.38x = 876.56 × 876.56
4. Step 4: Simplify right side
   585.38x = 768,361.82
5. Step 5: Solve for x
   x = 768,361.82/585.38
6. Step 6: Final answer
   x = 1,312.60