Finding the Third Proportional to 109,648 and 164,032

Step by Step Solution

1. Step 1: Write the proportion equation
   109,648 : 164,032 = 164,032 : x
2. Step 2: Convert to fraction form
   109,648/164,032 = 164,032/x
3. Step 3: Cross multiply
   109,648x = 164,032 × 164,032
4. Step 4: Simplify right side
   109,648x = 26,906,497,024
5. Step 5: Solve for x
   x = 26,906,497,024/109,648
6. Step 6: Final answer
   x = 245,389.77