Finding the Third Proportional to 47,680 and 103,392

Step by Step Solution

1. Step 1: Write the proportion equation
   47,680 : 103,392 = 103,392 : x
2. Step 2: Convert to fraction form
   47,680/103,392 = 103,392/x
3. Step 3: Cross multiply
   47,680x = 103,392 × 103,392
4. Step 4: Simplify right side
   47,680x = 10,689,905,664
5. Step 5: Solve for x
   x = 10,689,905,664/47,680
6. Step 6: Final answer
   x = 224,201.04