Finding the Third Proportional to 47,616 and 103,434

Step by Step Solution

1. Step 1: Write the proportion equation
   47,616 : 103,434 = 103,434 : x
2. Step 2: Convert to fraction form
   47,616/103,434 = 103,434/x
3. Step 3: Cross multiply
   47,616x = 103,434 × 103,434
4. Step 4: Simplify right side
   47,616x = 10,698,592,356
5. Step 5: Solve for x
   x = 10,698,592,356/47,616
6. Step 6: Final answer
   x = 224,684.82