Finding the Third Proportional to 111,504 and 164,304

Step by Step Solution

1. Step 1: Write the proportion equation
   111,504 : 164,304 = 164,304 : x
2. Step 2: Convert to fraction form
   111,504/164,304 = 164,304/x
3. Step 3: Cross multiply
   111,504x = 164,304 × 164,304
4. Step 4: Simplify right side
   111,504x = 26,995,804,416
5. Step 5: Solve for x
   x = 26,995,804,416/111,504
6. Step 6: Final answer
   x = 242,106.15