Finding the Third Proportional to 47,749.50 and 102,546

Step by Step Solution

1. Step 1: Write the proportion equation
   47,749.50 : 102,546 = 102,546 : x
2. Step 2: Convert to fraction form
   47,749.50/102,546 = 102,546/x
3. Step 3: Cross multiply
   47,749.50x = 102,546 × 102,546
4. Step 4: Simplify right side
   47,749.50x = 10,515,682,116
5. Step 5: Solve for x
   x = 10,515,682,116/47,749.50
6. Step 6: Final answer
   x = 220,226.02