Finding the Third Proportional to 47,702 and 103,605

Step by Step Solution

1. Step 1: Write the proportion equation
   47,702 : 103,605 = 103,605 : x
2. Step 2: Convert to fraction form
   47,702/103,605 = 103,605/x
3. Step 3: Cross multiply
   47,702x = 103,605 × 103,605
4. Step 4: Simplify right side
   47,702x = 10,733,996,025
5. Step 5: Solve for x
   x = 10,733,996,025/47,702
6. Step 6: Final answer
   x = 225,021.93