Finding the Third Proportional to 109,326 and 164,326

Step by Step Solution

1. Step 1: Write the proportion equation
   109,326 : 164,326 = 164,326 : x
2. Step 2: Convert to fraction form
   109,326/164,326 = 164,326/x
3. Step 3: Cross multiply
   109,326x = 164,326 × 164,326
4. Step 4: Simplify right side
   109,326x = 27,003,034,276
5. Step 5: Solve for x
   x = 27,003,034,276/109,326
6. Step 6: Final answer
   x = 246,995.54