Finding the Third Proportional to 109,654 and 164,049

Step by Step Solution

1. Step 1: Write the proportion equation
   109,654 : 164,049 = 164,049 : x
2. Step 2: Convert to fraction form
   109,654/164,049 = 164,049/x
3. Step 3: Cross multiply
   109,654x = 164,049 × 164,049
4. Step 4: Simplify right side
   109,654x = 26,912,074,401
5. Step 5: Solve for x
   x = 26,912,074,401/109,654
6. Step 6: Final answer
   x = 245,427.20