Finding the Third Proportional to 47,811 and 105,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,811 : 105,265.50 = 105,265.50 : x
2. Step 2: Convert to fraction form
   47,811/105,265.50 = 105,265.50/x
3. Step 3: Cross multiply
   47,811x = 105,265.50 × 105,265.50
4. Step 4: Simplify right side
   47,811x = 11,080,825,490.25
5. Step 5: Solve for x
   x = 11,080,825,490.25/47,811
6. Step 6: Final answer
   x = 231,763.10