Finding the Third Proportional to 105,742.50 and 228,909

Step by Step Solution

1. Step 1: Write the proportion equation
   105,742.50 : 228,909 = 228,909 : x
2. Step 2: Convert to fraction form
   105,742.50/228,909 = 228,909/x
3. Step 3: Cross multiply
   105,742.50x = 228,909 × 228,909
4. Step 4: Simplify right side
   105,742.50x = 52,399,330,281
5. Step 5: Solve for x
   x = 52,399,330,281/105,742.50
6. Step 6: Final answer
   x = 495,537.09