Finding the Third Proportional to 51,818.50 and 107,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,818.50 : 107,322.50 = 107,322.50 : x
2. Step 2: Convert to fraction form
   51,818.50/107,322.50 = 107,322.50/x
3. Step 3: Cross multiply
   51,818.50x = 107,322.50 × 107,322.50
4. Step 4: Simplify right side
   51,818.50x = 11,518,119,006.25
5. Step 5: Solve for x
   x = 11,518,119,006.25/51,818.50
6. Step 6: Final answer
   x = 222,278.12