Finding the Third Proportional to 47,580 and 103,634

Step by Step Solution

1. Step 1: Write the proportion equation
   47,580 : 103,634 = 103,634 : x
2. Step 2: Convert to fraction form
   47,580/103,634 = 103,634/x
3. Step 3: Cross multiply
   47,580x = 103,634 × 103,634
4. Step 4: Simplify right side
   47,580x = 10,740,005,956
5. Step 5: Solve for x
   x = 10,740,005,956/47,580
6. Step 6: Final answer
   x = 225,725.22