Finding the Third Proportional to 51,818 and 107,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,818 : 107,321.50 = 107,321.50 : x
2. Step 2: Convert to fraction form
   51,818/107,321.50 = 107,321.50/x
3. Step 3: Cross multiply
   51,818x = 107,321.50 × 107,321.50
4. Step 4: Simplify right side
   51,818x = 11,517,904,362.25
5. Step 5: Solve for x
   x = 11,517,904,362.25/51,818
6. Step 6: Final answer
   x = 222,276.13