Finding the Third Proportional to 81,778 and 109,901

Step by Step Solution

1. Step 1: Write the proportion equation
   81,778 : 109,901 = 109,901 : x
2. Step 2: Convert to fraction form
   81,778/109,901 = 109,901/x
3. Step 3: Cross multiply
   81,778x = 109,901 × 109,901
4. Step 4: Simplify right side
   81,778x = 12,078,229,801
5. Step 5: Solve for x
   x = 12,078,229,801/81,778
6. Step 6: Final answer
   x = 147,695.34