Finding the Third Proportional to 50,142 and 108,465

Step by Step Solution

1. Step 1: Write the proportion equation
   50,142 : 108,465 = 108,465 : x
2. Step 2: Convert to fraction form
   50,142/108,465 = 108,465/x
3. Step 3: Cross multiply
   50,142x = 108,465 × 108,465
4. Step 4: Simplify right side
   50,142x = 11,764,656,225
5. Step 5: Solve for x
   x = 11,764,656,225/50,142
6. Step 6: Final answer
   x = 234,626.78