Finding the Third Proportional to 89,466 and 138,357

Step by Step Solution

1. Step 1: Write the proportion equation
   89,466 : 138,357 = 138,357 : x
2. Step 2: Convert to fraction form
   89,466/138,357 = 138,357/x
3. Step 3: Cross multiply
   89,466x = 138,357 × 138,357
4. Step 4: Simplify right side
   89,466x = 19,142,659,449
5. Step 5: Solve for x
   x = 19,142,659,449/89,466
6. Step 6: Final answer
   x = 213,965.75