Finding the Third Proportional to 47,378 and 103,108

Step by Step Solution

1. Step 1: Write the proportion equation
   47,378 : 103,108 = 103,108 : x
2. Step 2: Convert to fraction form
   47,378/103,108 = 103,108/x
3. Step 3: Cross multiply
   47,378x = 103,108 × 103,108
4. Step 4: Simplify right side
   47,378x = 10,631,259,664
5. Step 5: Solve for x
   x = 10,631,259,664/47,378
6. Step 6: Final answer
   x = 224,392.33