Finding the Third Proportional to 47,144 and 102,620

Step by Step Solution

1. Step 1: Write the proportion equation
   47,144 : 102,620 = 102,620 : x
2. Step 2: Convert to fraction form
   47,144/102,620 = 102,620/x
3. Step 3: Cross multiply
   47,144x = 102,620 × 102,620
4. Step 4: Simplify right side
   47,144x = 10,530,864,400
5. Step 5: Solve for x
   x = 10,530,864,400/47,144
6. Step 6: Final answer
   x = 223,376.56