Finding the Third Proportional to 47,724 and 103,314

Step by Step Solution

1. Step 1: Write the proportion equation
   47,724 : 103,314 = 103,314 : x
2. Step 2: Convert to fraction form
   47,724/103,314 = 103,314/x
3. Step 3: Cross multiply
   47,724x = 103,314 × 103,314
4. Step 4: Simplify right side
   47,724x = 10,673,782,596
5. Step 5: Solve for x
   x = 10,673,782,596/47,724
6. Step 6: Final answer
   x = 223,656.50