Finding the Third Proportional to 47,684 and 103,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,684 : 103,561.50 = 103,561.50 : x
2. Step 2: Convert to fraction form
   47,684/103,561.50 = 103,561.50/x
3. Step 3: Cross multiply
   47,684x = 103,561.50 × 103,561.50
4. Step 4: Simplify right side
   47,684x = 10,724,984,282.25
5. Step 5: Solve for x
   x = 10,724,984,282.25/47,684
6. Step 6: Final answer
   x = 224,917.88