Finding the Third Proportional to 51,434 and 105,940

Step by Step Solution

1. Step 1: Write the proportion equation
   51,434 : 105,940 = 105,940 : x
2. Step 2: Convert to fraction form
   51,434/105,940 = 105,940/x
3. Step 3: Cross multiply
   51,434x = 105,940 × 105,940
4. Step 4: Simplify right side
   51,434x = 11,223,283,600
5. Step 5: Solve for x
   x = 11,223,283,600/51,434
6. Step 6: Final answer
   x = 218,207.48