Finding the Third Proportional to 50,351 and 109,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,351 : 109,689.50 = 109,689.50 : x
2. Step 2: Convert to fraction form
   50,351/109,689.50 = 109,689.50/x
3. Step 3: Cross multiply
   50,351x = 109,689.50 × 109,689.50
4. Step 4: Simplify right side
   50,351x = 12,031,786,410.25
5. Step 5: Solve for x
   x = 12,031,786,410.25/50,351
6. Step 6: Final answer
   x = 238,958.24