Finding the Third Proportional to 89,244 and 138,188

Step by Step Solution

1. Step 1: Write the proportion equation
   89,244 : 138,188 = 138,188 : x
2. Step 2: Convert to fraction form
   89,244/138,188 = 138,188/x
3. Step 3: Cross multiply
   89,244x = 138,188 × 138,188
4. Step 4: Simplify right side
   89,244x = 19,095,923,344
5. Step 5: Solve for x
   x = 19,095,923,344/89,244
6. Step 6: Final answer
   x = 213,974.31