Finding the Third Proportional to 51,732 and 116,856

Step by Step Solution

1. Step 1: Write the proportion equation
   51,732 : 116,856 = 116,856 : x
2. Step 2: Convert to fraction form
   51,732/116,856 = 116,856/x
3. Step 3: Cross multiply
   51,732x = 116,856 × 116,856
4. Step 4: Simplify right side
   51,732x = 13,655,324,736
5. Step 5: Solve for x
   x = 13,655,324,736/51,732
6. Step 6: Final answer
   x = 263,962.82