Finding the Third Proportional to 119,049 and 180,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,049 : 180,109.50 = 180,109.50 : x
2. Step 2: Convert to fraction form
   119,049/180,109.50 = 180,109.50/x
3. Step 3: Cross multiply
   119,049x = 180,109.50 × 180,109.50
4. Step 4: Simplify right side
   119,049x = 32,439,431,990.25
5. Step 5: Solve for x
   x = 32,439,431,990.25/119,049
6. Step 6: Final answer
   x = 272,488.07