Finding the Third Proportional to 89,318 and 138,238

Step by Step Solution

1. Step 1: Write the proportion equation
   89,318 : 138,238 = 138,238 : x
2. Step 2: Convert to fraction form
   89,318/138,238 = 138,238/x
3. Step 3: Cross multiply
   89,318x = 138,238 × 138,238
4. Step 4: Simplify right side
   89,318x = 19,109,744,644
5. Step 5: Solve for x
   x = 19,109,744,644/89,318
6. Step 6: Final answer
   x = 213,951.78