Finding the Third Proportional to 47,942 and 104,632

Step by Step Solution

1. Step 1: Write the proportion equation
   47,942 : 104,632 = 104,632 : x
2. Step 2: Convert to fraction form
   47,942/104,632 = 104,632/x
3. Step 3: Cross multiply
   47,942x = 104,632 × 104,632
4. Step 4: Simplify right side
   47,942x = 10,947,855,424
5. Step 5: Solve for x
   x = 10,947,855,424/47,942
6. Step 6: Final answer
   x = 228,356.25