Finding the Third Proportional to 50,209 and 108,200

Step by Step Solution

1. Step 1: Write the proportion equation
   50,209 : 108,200 = 108,200 : x
2. Step 2: Convert to fraction form
   50,209/108,200 = 108,200/x
3. Step 3: Cross multiply
   50,209x = 108,200 × 108,200
4. Step 4: Simplify right side
   50,209x = 11,707,240,000
5. Step 5: Solve for x
   x = 11,707,240,000/50,209
6. Step 6: Final answer
   x = 233,170.15