Finding the Third Proportional to 51,866 and 105,634

Step by Step Solution

1. Step 1: Write the proportion equation
   51,866 : 105,634 = 105,634 : x
2. Step 2: Convert to fraction form
   51,866/105,634 = 105,634/x
3. Step 3: Cross multiply
   51,866x = 105,634 × 105,634
4. Step 4: Simplify right side
   51,866x = 11,158,541,956
5. Step 5: Solve for x
   x = 11,158,541,956/51,866
6. Step 6: Final answer
   x = 215,141.75