Finding the Third Proportional to 105,734.25 and 228,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,734.25 : 228,892.50 = 228,892.50 : x
2. Step 2: Convert to fraction form
   105,734.25/228,892.50 = 228,892.50/x
3. Step 3: Cross multiply
   105,734.25x = 228,892.50 × 228,892.50
4. Step 4: Simplify right side
   105,734.25x = 52,391,776,556.25
5. Step 5: Solve for x
   x = 52,391,776,556.25/105,734.25
6. Step 6: Final answer
   x = 495,504.31