Finding the Third Proportional to 588.94 and 890.86

Step by Step Solution

1. Step 1: Write the proportion equation
   588.94 : 890.86 = 890.86 : x
2. Step 2: Convert to fraction form
   588.94/890.86 = 890.86/x
3. Step 3: Cross multiply
   588.94x = 890.86 × 890.86
4. Step 4: Simplify right side
   588.94x = 793,630.43
5. Step 5: Solve for x
   x = 793,630.43/588.94
6. Step 6: Final answer
   x = 1,347.56