Finding the Third Proportional to 119,156 and 175,960

Step by Step Solution

1. Step 1: Write the proportion equation
   119,156 : 175,960 = 175,960 : x
2. Step 2: Convert to fraction form
   119,156/175,960 = 175,960/x
3. Step 3: Cross multiply
   119,156x = 175,960 × 175,960
4. Step 4: Simplify right side
   119,156x = 30,961,921,600
5. Step 5: Solve for x
   x = 30,961,921,600/119,156
6. Step 6: Final answer
   x = 259,843.58