Finding the Third Proportional to 50,466 and 106,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,466 : 106,159.50 = 106,159.50 : x
2. Step 2: Convert to fraction form
   50,466/106,159.50 = 106,159.50/x
3. Step 3: Cross multiply
   50,466x = 106,159.50 × 106,159.50
4. Step 4: Simplify right side
   50,466x = 11,269,839,440.25
5. Step 5: Solve for x
   x = 11,269,839,440.25/50,466
6. Step 6: Final answer
   x = 223,315.49