Finding the Third Proportional to 109,654 and 164,048

Step by Step Solution

1. Step 1: Write the proportion equation
   109,654 : 164,048 = 164,048 : x
2. Step 2: Convert to fraction form
   109,654/164,048 = 164,048/x
3. Step 3: Cross multiply
   109,654x = 164,048 × 164,048
4. Step 4: Simplify right side
   109,654x = 26,911,746,304
5. Step 5: Solve for x
   x = 26,911,746,304/109,654
6. Step 6: Final answer
   x = 245,424.21