Finding the Third Proportional to 105,164.75 and 228,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,164.75 : 228,073.50 = 228,073.50 : x
2. Step 2: Convert to fraction form
   105,164.75/228,073.50 = 228,073.50/x
3. Step 3: Cross multiply
   105,164.75x = 228,073.50 × 228,073.50
4. Step 4: Simplify right side
   105,164.75x = 52,017,521,402.25
5. Step 5: Solve for x
   x = 52,017,521,402.25/105,164.75
6. Step 6: Final answer
   x = 494,628.87