Finding the Third Proportional to 89,024 and 138,640

Step by Step Solution

1. Step 1: Write the proportion equation
   89,024 : 138,640 = 138,640 : x
2. Step 2: Convert to fraction form
   89,024/138,640 = 138,640/x
3. Step 3: Cross multiply
   89,024x = 138,640 × 138,640
4. Step 4: Simplify right side
   89,024x = 19,221,049,600
5. Step 5: Solve for x
   x = 19,221,049,600/89,024
6. Step 6: Final answer
   x = 215,908.63