Finding the Third Proportional to 47,596 and 103,148

Step by Step Solution

1. Step 1: Write the proportion equation
   47,596 : 103,148 = 103,148 : x
2. Step 2: Convert to fraction form
   47,596/103,148 = 103,148/x
3. Step 3: Cross multiply
   47,596x = 103,148 × 103,148
4. Step 4: Simplify right side
   47,596x = 10,639,509,904
5. Step 5: Solve for x
   x = 10,639,509,904/47,596
6. Step 6: Final answer
   x = 223,537.90