Finding the Third Proportional to 105,825.50 and 228,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,825.50 : 228,902.50 = 228,902.50 : x
2. Step 2: Convert to fraction form
   105,825.50/228,902.50 = 228,902.50/x
3. Step 3: Cross multiply
   105,825.50x = 228,902.50 × 228,902.50
4. Step 4: Simplify right side
   105,825.50x = 52,396,354,506.25
5. Step 5: Solve for x
   x = 52,396,354,506.25/105,825.50
6. Step 6: Final answer
   x = 495,120.31