Finding the Third Proportional to 51,815 and 107,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,815 : 107,315.50 = 107,315.50 : x
2. Step 2: Convert to fraction form
   51,815/107,315.50 = 107,315.50/x
3. Step 3: Cross multiply
   51,815x = 107,315.50 × 107,315.50
4. Step 4: Simplify right side
   51,815x = 11,516,616,540.25
5. Step 5: Solve for x
   x = 11,516,616,540.25/51,815
6. Step 6: Final answer
   x = 222,264.14