Finding the Third Proportional to 89,581.50 and 135,380.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,581.50 : 135,380.25 = 135,380.25 : x
2. Step 2: Convert to fraction form
   89,581.50/135,380.25 = 135,380.25/x
3. Step 3: Cross multiply
   89,581.50x = 135,380.25 × 135,380.25
4. Step 4: Simplify right side
   89,581.50x = 18,327,812,090.06
5. Step 5: Solve for x
   x = 18,327,812,090.06/89,581.50
6. Step 6: Final answer
   x = 204,593.72