Finding the Third Proportional to 47,723 and 101,766

Step by Step Solution

1. Step 1: Write the proportion equation
   47,723 : 101,766 = 101,766 : x
2. Step 2: Convert to fraction form
   47,723/101,766 = 101,766/x
3. Step 3: Cross multiply
   47,723x = 101,766 × 101,766
4. Step 4: Simplify right side
   47,723x = 10,356,318,756
5. Step 5: Solve for x
   x = 10,356,318,756/47,723
6. Step 6: Final answer
   x = 217,008.96