Finding the Third Proportional to 120,024 and 193,336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,024 : 193,336.50 = 193,336.50 : x
2. Step 2: Convert to fraction form
   120,024/193,336.50 = 193,336.50/x
3. Step 3: Cross multiply
   120,024x = 193,336.50 × 193,336.50
4. Step 4: Simplify right side
   120,024x = 37,379,002,232.25
5. Step 5: Solve for x
   x = 37,379,002,232.25/120,024
6. Step 6: Final answer
   x = 311,429.40