Finding the Third Proportional to 119,196 and 175,502

Step by Step Solution

1. Step 1: Write the proportion equation
   119,196 : 175,502 = 175,502 : x
2. Step 2: Convert to fraction form
   119,196/175,502 = 175,502/x
3. Step 3: Cross multiply
   119,196x = 175,502 × 175,502
4. Step 4: Simplify right side
   119,196x = 30,800,952,004
5. Step 5: Solve for x
   x = 30,800,952,004/119,196
6. Step 6: Final answer
   x = 258,405.92