Finding the Third Proportional to 50,178 and 105,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,178 : 105,280.50 = 105,280.50 : x
2. Step 2: Convert to fraction form
   50,178/105,280.50 = 105,280.50/x
3. Step 3: Cross multiply
   50,178x = 105,280.50 × 105,280.50
4. Step 4: Simplify right side
   50,178x = 11,083,983,680.25
5. Step 5: Solve for x
   x = 11,083,983,680.25/50,178
6. Step 6: Final answer
   x = 220,893.29