Finding the Third Proportional to 47,796 and 103,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,796 : 103,975.50 = 103,975.50 : x
2. Step 2: Convert to fraction form
   47,796/103,975.50 = 103,975.50/x
3. Step 3: Cross multiply
   47,796x = 103,975.50 × 103,975.50
4. Step 4: Simplify right side
   47,796x = 10,810,904,600.25
5. Step 5: Solve for x
   x = 10,810,904,600.25/47,796
6. Step 6: Final answer
   x = 226,188.48