Finding the Third Proportional to 47,783 and 103,360

Step by Step Solution

1. Step 1: Write the proportion equation
   47,783 : 103,360 = 103,360 : x
2. Step 2: Convert to fraction form
   47,783/103,360 = 103,360/x
3. Step 3: Cross multiply
   47,783x = 103,360 × 103,360
4. Step 4: Simplify right side
   47,783x = 10,683,289,600
5. Step 5: Solve for x
   x = 10,683,289,600/47,783
6. Step 6: Final answer
   x = 223,579.30