Finding the Third Proportional to 51,512 and 108,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,512 : 108,651.50 = 108,651.50 : x
2. Step 2: Convert to fraction form
   51,512/108,651.50 = 108,651.50/x
3. Step 3: Cross multiply
   51,512x = 108,651.50 × 108,651.50
4. Step 4: Simplify right side
   51,512x = 11,805,148,452.25
5. Step 5: Solve for x
   x = 11,805,148,452.25/51,512
6. Step 6: Final answer
   x = 229,172.78