Finding the Third Proportional to 47,501 and 103,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,501 : 103,749.50 = 103,749.50 : x
2. Step 2: Convert to fraction form
   47,501/103,749.50 = 103,749.50/x
3. Step 3: Cross multiply
   47,501x = 103,749.50 × 103,749.50
4. Step 4: Simplify right side
   47,501x = 10,763,958,750.25
5. Step 5: Solve for x
   x = 10,763,958,750.25/47,501
6. Step 6: Final answer
   x = 226,604.89