Finding the Third Proportional to 119,556 and 179,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,556 : 179,617.50 = 179,617.50 : x
2. Step 2: Convert to fraction form
   119,556/179,617.50 = 179,617.50/x
3. Step 3: Cross multiply
   119,556x = 179,617.50 × 179,617.50
4. Step 4: Simplify right side
   119,556x = 32,262,446,306.25
5. Step 5: Solve for x
   x = 32,262,446,306.25/119,556
6. Step 6: Final answer
   x = 269,852.17