Finding the Third Proportional to 47,400 and 103,729

Step by Step Solution

1. Step 1: Write the proportion equation
   47,400 : 103,729 = 103,729 : x
2. Step 2: Convert to fraction form
   47,400/103,729 = 103,729/x
3. Step 3: Cross multiply
   47,400x = 103,729 × 103,729
4. Step 4: Simplify right side
   47,400x = 10,759,705,441
5. Step 5: Solve for x
   x = 10,759,705,441/47,400
6. Step 6: Final answer
   x = 226,998.01