Finding the Third Proportional to 120,910.50 and 256,224

Step by Step Solution

1. Step 1: Write the proportion equation
   120,910.50 : 256,224 = 256,224 : x
2. Step 2: Convert to fraction form
   120,910.50/256,224 = 256,224/x
3. Step 3: Cross multiply
   120,910.50x = 256,224 × 256,224
4. Step 4: Simplify right side
   120,910.50x = 65,650,738,176
5. Step 5: Solve for x
   x = 65,650,738,176/120,910.50
6. Step 6: Final answer
   x = 542,969.70