Finding the Third Proportional to 119,142 and 175,941

Step by Step Solution

1. Step 1: Write the proportion equation
   119,142 : 175,941 = 175,941 : x
2. Step 2: Convert to fraction form
   119,142/175,941 = 175,941/x
3. Step 3: Cross multiply
   119,142x = 175,941 × 175,941
4. Step 4: Simplify right side
   119,142x = 30,955,235,481
5. Step 5: Solve for x
   x = 30,955,235,481/119,142
6. Step 6: Final answer
   x = 259,817.99