Finding the Third Proportional to 120,601.50 and 254,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,601.50 : 254,581.50 = 254,581.50 : x
2. Step 2: Convert to fraction form
   120,601.50/254,581.50 = 254,581.50/x
3. Step 3: Cross multiply
   120,601.50x = 254,581.50 × 254,581.50
4. Step 4: Simplify right side
   120,601.50x = 64,811,740,142.25
5. Step 5: Solve for x
   x = 64,811,740,142.25/120,601.50
6. Step 6: Final answer
   x = 537,404.10