Finding the Third Proportional to 119,198 and 180,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,198 : 180,011.50 = 180,011.50 : x
2. Step 2: Convert to fraction form
   119,198/180,011.50 = 180,011.50/x
3. Step 3: Cross multiply
   119,198x = 180,011.50 × 180,011.50
4. Step 4: Simplify right side
   119,198x = 32,404,140,132.25
5. Step 5: Solve for x
   x = 32,404,140,132.25/119,198
6. Step 6: Final answer
   x = 271,851.37