Finding the Third Proportional to 119,840 and 187,982.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,840 : 187,982.50 = 187,982.50 : x
2. Step 2: Convert to fraction form
   119,840/187,982.50 = 187,982.50/x
3. Step 3: Cross multiply
   119,840x = 187,982.50 × 187,982.50
4. Step 4: Simplify right side
   119,840x = 35,337,420,306.25
5. Step 5: Solve for x
   x = 35,337,420,306.25/119,840
6. Step 6: Final answer
   x = 294,871.66