Finding the Third Proportional to 109,327 and 164,327

Step by Step Solution

1. Step 1: Write the proportion equation
   109,327 : 164,327 = 164,327 : x
2. Step 2: Convert to fraction form
   109,327/164,327 = 164,327/x
3. Step 3: Cross multiply
   109,327x = 164,327 × 164,327
4. Step 4: Simplify right side
   109,327x = 27,003,362,929
5. Step 5: Solve for x
   x = 27,003,362,929/109,327
6. Step 6: Final answer
   x = 246,996.29