Finding the Third Proportional to 120,424.50 and 187,530

Step by Step Solution

1. Step 1: Write the proportion equation
   120,424.50 : 187,530 = 187,530 : x
2. Step 2: Convert to fraction form
   120,424.50/187,530 = 187,530/x
3. Step 3: Cross multiply
   120,424.50x = 187,530 × 187,530
4. Step 4: Simplify right side
   120,424.50x = 35,167,500,900
5. Step 5: Solve for x
   x = 35,167,500,900/120,424.50
6. Step 6: Final answer
   x = 292,029.45