Finding the Third Proportional to 47,876 and 105,400

Step by Step Solution

1. Step 1: Write the proportion equation
   47,876 : 105,400 = 105,400 : x
2. Step 2: Convert to fraction form
   47,876/105,400 = 105,400/x
3. Step 3: Cross multiply
   47,876x = 105,400 × 105,400
4. Step 4: Simplify right side
   47,876x = 11,109,160,000
5. Step 5: Solve for x
   x = 11,109,160,000/47,876
6. Step 6: Final answer
   x = 232,040.27