Finding the Third Proportional to 89,256 and 138,205

Step by Step Solution

1. Step 1: Write the proportion equation
   89,256 : 138,205 = 138,205 : x
2. Step 2: Convert to fraction form
   89,256/138,205 = 138,205/x
3. Step 3: Cross multiply
   89,256x = 138,205 × 138,205
4. Step 4: Simplify right side
   89,256x = 19,100,622,025
5. Step 5: Solve for x
   x = 19,100,622,025/89,256
6. Step 6: Final answer
   x = 213,998.19