Finding the Third Proportional to 89,271 and 138,229

Step by Step Solution

1. Step 1: Write the proportion equation
   89,271 : 138,229 = 138,229 : x
2. Step 2: Convert to fraction form
   89,271/138,229 = 138,229/x
3. Step 3: Cross multiply
   89,271x = 138,229 × 138,229
4. Step 4: Simplify right side
   89,271x = 19,107,256,441
5. Step 5: Solve for x
   x = 19,107,256,441/89,271
6. Step 6: Final answer
   x = 214,036.55