Finding the Third Proportional to 50,176 and 103,632

Step by Step Solution

1. Step 1: Write the proportion equation
   50,176 : 103,632 = 103,632 : x
2. Step 2: Convert to fraction form
   50,176/103,632 = 103,632/x
3. Step 3: Cross multiply
   50,176x = 103,632 × 103,632
4. Step 4: Simplify right side
   50,176x = 10,739,591,424
5. Step 5: Solve for x
   x = 10,739,591,424/50,176
6. Step 6: Final answer
   x = 214,038.41