Finding the Third Proportional to 105,562.50 and 228,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,562.50 : 228,742.50 = 228,742.50 : x
2. Step 2: Convert to fraction form
   105,562.50/228,742.50 = 228,742.50/x
3. Step 3: Cross multiply
   105,562.50x = 228,742.50 × 228,742.50
4. Step 4: Simplify right side
   105,562.50x = 52,323,131,306.25
5. Step 5: Solve for x
   x = 52,323,131,306.25/105,562.50
6. Step 6: Final answer
   x = 495,660.21