Finding the Third Proportional to 50,866.50 and 106,380

Step by Step Solution

1. Step 1: Write the proportion equation
   50,866.50 : 106,380 = 106,380 : x
2. Step 2: Convert to fraction form
   50,866.50/106,380 = 106,380/x
3. Step 3: Cross multiply
   50,866.50x = 106,380 × 106,380
4. Step 4: Simplify right side
   50,866.50x = 11,316,704,400
5. Step 5: Solve for x
   x = 11,316,704,400/50,866.50
6. Step 6: Final answer
   x = 222,478.53