Finding the Third Proportional to 90,885 and 138,788

Step by Step Solution

1. Step 1: Write the proportion equation
   90,885 : 138,788 = 138,788 : x
2. Step 2: Convert to fraction form
   90,885/138,788 = 138,788/x
3. Step 3: Cross multiply
   90,885x = 138,788 × 138,788
4. Step 4: Simplify right side
   90,885x = 19,262,108,944
5. Step 5: Solve for x
   x = 19,262,108,944/90,885
6. Step 6: Final answer
   x = 211,939.36