Finding the Third Proportional to 47,762 and 103,819

Step by Step Solution

1. Step 1: Write the proportion equation
   47,762 : 103,819 = 103,819 : x
2. Step 2: Convert to fraction form
   47,762/103,819 = 103,819/x
3. Step 3: Cross multiply
   47,762x = 103,819 × 103,819
4. Step 4: Simplify right side
   47,762x = 10,778,384,761
5. Step 5: Solve for x
   x = 10,778,384,761/47,762
6. Step 6: Final answer
   x = 225,668.62