Finding the Third Proportional to 89,022 and 135,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,022 : 135,778.50 = 135,778.50 : x
2. Step 2: Convert to fraction form
   89,022/135,778.50 = 135,778.50/x
3. Step 3: Cross multiply
   89,022x = 135,778.50 × 135,778.50
4. Step 4: Simplify right side
   89,022x = 18,435,801,062.25
5. Step 5: Solve for x
   x = 18,435,801,062.25/89,022
6. Step 6: Final answer
   x = 207,092.64