Finding the Third Proportional to 55,880 and 118,216

Step by Step Solution

1. Step 1: Write the proportion equation
   55,880 : 118,216 = 118,216 : x
2. Step 2: Convert to fraction form
   55,880/118,216 = 118,216/x
3. Step 3: Cross multiply
   55,880x = 118,216 × 118,216
4. Step 4: Simplify right side
   55,880x = 13,975,022,656
5. Step 5: Solve for x
   x = 13,975,022,656/55,880
6. Step 6: Final answer
   x = 250,089.88