Finding the Third Proportional to 89,280 and 138,330

Step by Step Solution

1. Step 1: Write the proportion equation
   89,280 : 138,330 = 138,330 : x
2. Step 2: Convert to fraction form
   89,280/138,330 = 138,330/x
3. Step 3: Cross multiply
   89,280x = 138,330 × 138,330
4. Step 4: Simplify right side
   89,280x = 19,135,188,900
5. Step 5: Solve for x
   x = 19,135,188,900/89,280
6. Step 6: Final answer
   x = 214,327.83