Finding the Third Proportional to 50,494.50 and 106,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,494.50 : 106,213.50 = 106,213.50 : x
2. Step 2: Convert to fraction form
   50,494.50/106,213.50 = 106,213.50/x
3. Step 3: Cross multiply
   50,494.50x = 106,213.50 × 106,213.50
4. Step 4: Simplify right side
   50,494.50x = 11,281,307,582.25
5. Step 5: Solve for x
   x = 11,281,307,582.25/50,494.50
6. Step 6: Final answer
   x = 223,416.56