Finding the Third Proportional to 119,192 and 175,496

Step by Step Solution

1. Step 1: Write the proportion equation
   119,192 : 175,496 = 175,496 : x
2. Step 2: Convert to fraction form
   119,192/175,496 = 175,496/x
3. Step 3: Cross multiply
   119,192x = 175,496 × 175,496
4. Step 4: Simplify right side
   119,192x = 30,798,846,016
5. Step 5: Solve for x
   x = 30,798,846,016/119,192
6. Step 6: Final answer
   x = 258,396.92