Finding the Third Proportional to 47,114 and 100,766

Step by Step Solution

1. Step 1: Write the proportion equation
   47,114 : 100,766 = 100,766 : x
2. Step 2: Convert to fraction form
   47,114/100,766 = 100,766/x
3. Step 3: Cross multiply
   47,114x = 100,766 × 100,766
4. Step 4: Simplify right side
   47,114x = 10,153,786,756
5. Step 5: Solve for x
   x = 10,153,786,756/47,114
6. Step 6: Final answer
   x = 215,515.28