Finding the Third Proportional to 51,814.50 and 107,314

Step by Step Solution

1. Step 1: Write the proportion equation
   51,814.50 : 107,314 = 107,314 : x
2. Step 2: Convert to fraction form
   51,814.50/107,314 = 107,314/x
3. Step 3: Cross multiply
   51,814.50x = 107,314 × 107,314
4. Step 4: Simplify right side
   51,814.50x = 11,516,294,596
5. Step 5: Solve for x
   x = 11,516,294,596/51,814.50
6. Step 6: Final answer
   x = 222,260.07