Finding the Third Proportional to 47,871 and 104,035.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,871 : 104,035.50 = 104,035.50 : x
2. Step 2: Convert to fraction form
   47,871/104,035.50 = 104,035.50/x
3. Step 3: Cross multiply
   47,871x = 104,035.50 × 104,035.50
4. Step 4: Simplify right side
   47,871x = 10,823,385,260.25
5. Step 5: Solve for x
   x = 10,823,385,260.25/47,871
6. Step 6: Final answer
   x = 226,094.82