Finding the Third Proportional to 89,005.50 and 137,769.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,005.50 : 137,769.75 = 137,769.75 : x
2. Step 2: Convert to fraction form
   89,005.50/137,769.75 = 137,769.75/x
3. Step 3: Cross multiply
   89,005.50x = 137,769.75 × 137,769.75
4. Step 4: Simplify right side
   89,005.50x = 18,980,504,015.06
5. Step 5: Solve for x
   x = 18,980,504,015.06/89,005.50
6. Step 6: Final answer
   x = 213,250.91