Finding the Third Proportional to 51,084 and 105,704

Step by Step Solution

1. Step 1: Write the proportion equation
   51,084 : 105,704 = 105,704 : x
2. Step 2: Convert to fraction form
   51,084/105,704 = 105,704/x
3. Step 3: Cross multiply
   51,084x = 105,704 × 105,704
4. Step 4: Simplify right side
   51,084x = 11,173,335,616
5. Step 5: Solve for x
   x = 11,173,335,616/51,084
6. Step 6: Final answer
   x = 218,724.76