Finding the Third Proportional to 89,584 and 139,823

Step by Step Solution

1. Step 1: Write the proportion equation
   89,584 : 139,823 = 139,823 : x
2. Step 2: Convert to fraction form
   89,584/139,823 = 139,823/x
3. Step 3: Cross multiply
   89,584x = 139,823 × 139,823
4. Step 4: Simplify right side
   89,584x = 19,550,471,329
5. Step 5: Solve for x
   x = 19,550,471,329/89,584
6. Step 6: Final answer
   x = 218,236.20