Finding the Third Proportional to 107,256 and 228,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,256 : 228,754.50 = 228,754.50 : x
2. Step 2: Convert to fraction form
   107,256/228,754.50 = 228,754.50/x
3. Step 3: Cross multiply
   107,256x = 228,754.50 × 228,754.50
4. Step 4: Simplify right side
   107,256x = 52,328,621,270.25
5. Step 5: Solve for x
   x = 52,328,621,270.25/107,256
6. Step 6: Final answer
   x = 487,885.26