Finding the Third Proportional to 134,892 and 194,304

Step by Step Solution

1. Step 1: Write the proportion equation
   134,892 : 194,304 = 194,304 : x
2. Step 2: Convert to fraction form
   134,892/194,304 = 194,304/x
3. Step 3: Cross multiply
   134,892x = 194,304 × 194,304
4. Step 4: Simplify right side
   134,892x = 37,754,044,416
5. Step 5: Solve for x
   x = 37,754,044,416/134,892
6. Step 6: Final answer
   x = 279,883.50