Finding the Third Proportional to 89,268 and 138,224

Step by Step Solution

1. Step 1: Write the proportion equation
   89,268 : 138,224 = 138,224 : x
2. Step 2: Convert to fraction form
   89,268/138,224 = 138,224/x
3. Step 3: Cross multiply
   89,268x = 138,224 × 138,224
4. Step 4: Simplify right side
   89,268x = 19,105,874,176
5. Step 5: Solve for x
   x = 19,105,874,176/89,268
6. Step 6: Final answer
   x = 214,028.25