Finding the Third Proportional to 50,213 and 108,201

Step by Step Solution

1. Step 1: Write the proportion equation
   50,213 : 108,201 = 108,201 : x
2. Step 2: Convert to fraction form
   50,213/108,201 = 108,201/x
3. Step 3: Cross multiply
   50,213x = 108,201 × 108,201
4. Step 4: Simplify right side
   50,213x = 11,707,456,401
5. Step 5: Solve for x
   x = 11,707,456,401/50,213
6. Step 6: Final answer
   x = 233,155.88