Finding the Third Proportional to 51,819.50 and 107,323

Step by Step Solution

1. Step 1: Write the proportion equation
   51,819.50 : 107,323 = 107,323 : x
2. Step 2: Convert to fraction form
   51,819.50/107,323 = 107,323/x
3. Step 3: Cross multiply
   51,819.50x = 107,323 × 107,323
4. Step 4: Simplify right side
   51,819.50x = 11,518,226,329
5. Step 5: Solve for x
   x = 11,518,226,329/51,819.50
6. Step 6: Final answer
   x = 222,275.91