Finding the Third Proportional to 51,772.50 and 108,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,772.50 : 108,742.50 = 108,742.50 : x
2. Step 2: Convert to fraction form
   51,772.50/108,742.50 = 108,742.50/x
3. Step 3: Cross multiply
   51,772.50x = 108,742.50 × 108,742.50
4. Step 4: Simplify right side
   51,772.50x = 11,824,931,306.25
5. Step 5: Solve for x
   x = 11,824,931,306.25/51,772.50
6. Step 6: Final answer
   x = 228,401.78