Finding the Third Proportional to 50,176 and 108,188

Step by Step Solution

1. Step 1: Write the proportion equation
   50,176 : 108,188 = 108,188 : x
2. Step 2: Convert to fraction form
   50,176/108,188 = 108,188/x
3. Step 3: Cross multiply
   50,176x = 108,188 × 108,188
4. Step 4: Simplify right side
   50,176x = 11,704,643,344
5. Step 5: Solve for x
   x = 11,704,643,344/50,176
6. Step 6: Final answer
   x = 233,271.75