Finding the Third Proportional to 106,627.50 and 228,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,627.50 : 228,016.50 = 228,016.50 : x
2. Step 2: Convert to fraction form
   106,627.50/228,016.50 = 228,016.50/x
3. Step 3: Cross multiply
   106,627.50x = 228,016.50 × 228,016.50
4. Step 4: Simplify right side
   106,627.50x = 51,991,524,272.25
5. Step 5: Solve for x
   x = 51,991,524,272.25/106,627.50
6. Step 6: Final answer
   x = 487,599.58