Finding the Third Proportional to 47,678 and 103,558

Step by Step Solution

1. Step 1: Write the proportion equation
   47,678 : 103,558 = 103,558 : x
2. Step 2: Convert to fraction form
   47,678/103,558 = 103,558/x
3. Step 3: Cross multiply
   47,678x = 103,558 × 103,558
4. Step 4: Simplify right side
   47,678x = 10,724,259,364
5. Step 5: Solve for x
   x = 10,724,259,364/47,678
6. Step 6: Final answer
   x = 224,930.98