Finding the Third Proportional to 588.50 and 1,210

Step by Step Solution

1. Step 1: Write the proportion equation
   588.50 : 1,210 = 1,210 : x
2. Step 2: Convert to fraction form
   588.50/1,210 = 1,210/x
3. Step 3: Cross multiply
   588.50x = 1,210 × 1,210
4. Step 4: Simplify right side
   588.50x = 1,464,100
5. Step 5: Solve for x
   x = 1,464,100/588.50
6. Step 6: Final answer
   x = 2,487.85