Finding the Third Proportional to 47,630 and 103,462

Step by Step Solution

1. Step 1: Write the proportion equation
   47,630 : 103,462 = 103,462 : x
2. Step 2: Convert to fraction form
   47,630/103,462 = 103,462/x
3. Step 3: Cross multiply
   47,630x = 103,462 × 103,462
4. Step 4: Simplify right side
   47,630x = 10,704,385,444
5. Step 5: Solve for x
   x = 10,704,385,444/47,630
6. Step 6: Final answer
   x = 224,740.40