Finding the Third Proportional to 47,764 and 103,384

Step by Step Solution

1. Step 1: Write the proportion equation
   47,764 : 103,384 = 103,384 : x
2. Step 2: Convert to fraction form
   47,764/103,384 = 103,384/x
3. Step 3: Cross multiply
   47,764x = 103,384 × 103,384
4. Step 4: Simplify right side
   47,764x = 10,688,251,456
5. Step 5: Solve for x
   x = 10,688,251,456/47,764
6. Step 6: Final answer
   x = 223,772.12