Finding the Third Proportional to 89,162 and 138,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,162 : 138,504.50 = 138,504.50 : x
2. Step 2: Convert to fraction form
   89,162/138,504.50 = 138,504.50/x
3. Step 3: Cross multiply
   89,162x = 138,504.50 × 138,504.50
4. Step 4: Simplify right side
   89,162x = 19,183,496,520.25
5. Step 5: Solve for x
   x = 19,183,496,520.25/89,162
6. Step 6: Final answer
   x = 215,153.28