Finding the Third Proportional to 119,202 and 180,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,202 : 180,017.50 = 180,017.50 : x
2. Step 2: Convert to fraction form
   119,202/180,017.50 = 180,017.50/x
3. Step 3: Cross multiply
   119,202x = 180,017.50 × 180,017.50
4. Step 4: Simplify right side
   119,202x = 32,406,300,306.25
5. Step 5: Solve for x
   x = 32,406,300,306.25/119,202
6. Step 6: Final answer
   x = 271,860.37