Finding the Third Proportional to 51,865 and 105,632

Step by Step Solution

1. Step 1: Write the proportion equation
   51,865 : 105,632 = 105,632 : x
2. Step 2: Convert to fraction form
   51,865/105,632 = 105,632/x
3. Step 3: Cross multiply
   51,865x = 105,632 × 105,632
4. Step 4: Simplify right side
   51,865x = 11,158,119,424
5. Step 5: Solve for x
   x = 11,158,119,424/51,865
6. Step 6: Final answer
   x = 215,137.75