Finding the Third Proportional to 89,304 and 138,388

Step by Step Solution

1. Step 1: Write the proportion equation
   89,304 : 138,388 = 138,388 : x
2. Step 2: Convert to fraction form
   89,304/138,388 = 138,388/x
3. Step 3: Cross multiply
   89,304x = 138,388 × 138,388
4. Step 4: Simplify right side
   89,304x = 19,151,238,544
5. Step 5: Solve for x
   x = 19,151,238,544/89,304
6. Step 6: Final answer
   x = 214,449.95