Finding the Third Proportional to 89,297 and 138,144

Step by Step Solution

1. Step 1: Write the proportion equation
   89,297 : 138,144 = 138,144 : x
2. Step 2: Convert to fraction form
   89,297/138,144 = 138,144/x
3. Step 3: Cross multiply
   89,297x = 138,144 × 138,144
4. Step 4: Simplify right side
   89,297x = 19,083,764,736
5. Step 5: Solve for x
   x = 19,083,764,736/89,297
6. Step 6: Final answer
   x = 213,711.15