Finding the Third Proportional to 106,103.75 and 228,826

Step by Step Solution

1. Step 1: Write the proportion equation
   106,103.75 : 228,826 = 228,826 : x
2. Step 2: Convert to fraction form
   106,103.75/228,826 = 228,826/x
3. Step 3: Cross multiply
   106,103.75x = 228,826 × 228,826
4. Step 4: Simplify right side
   106,103.75x = 52,361,338,276
5. Step 5: Solve for x
   x = 52,361,338,276/106,103.75
6. Step 6: Final answer
   x = 493,491.87