Finding the Third Proportional to 55,682 and 116,832

Step by Step Solution

1. Step 1: Write the proportion equation
   55,682 : 116,832 = 116,832 : x
2. Step 2: Convert to fraction form
   55,682/116,832 = 116,832/x
3. Step 3: Cross multiply
   55,682x = 116,832 × 116,832
4. Step 4: Simplify right side
   55,682x = 13,649,716,224
5. Step 5: Solve for x
   x = 13,649,716,224/55,682
6. Step 6: Final answer
   x = 245,136.96