Finding the Third Proportional to 898.50 and 1,388.06

Step by Step Solution

1. Step 1: Write the proportion equation
   898.50 : 1,388.06 = 1,388.06 : x
2. Step 2: Convert to fraction form
   898.50/1,388.06 = 1,388.06/x
3. Step 3: Cross multiply
   898.50x = 1,388.06 × 1,388.06
4. Step 4: Simplify right side
   898.50x = 1,926,717.50
5. Step 5: Solve for x
   x = 1,926,717.50/898.50
6. Step 6: Final answer
   x = 2,144.37