Finding the Third Proportional to 90,778 and 138,087

Step by Step Solution

1. Step 1: Write the proportion equation
   90,778 : 138,087 = 138,087 : x
2. Step 2: Convert to fraction form
   90,778/138,087 = 138,087/x
3. Step 3: Cross multiply
   90,778x = 138,087 × 138,087
4. Step 4: Simplify right side
   90,778x = 19,068,019,569
5. Step 5: Solve for x
   x = 19,068,019,569/90,778
6. Step 6: Final answer
   x = 210,051.11