Finding the Third Proportional to 47,809.50 and 105,057

Step by Step Solution

1. Step 1: Write the proportion equation
   47,809.50 : 105,057 = 105,057 : x
2. Step 2: Convert to fraction form
   47,809.50/105,057 = 105,057/x
3. Step 3: Cross multiply
   47,809.50x = 105,057 × 105,057
4. Step 4: Simplify right side
   47,809.50x = 11,036,973,249
5. Step 5: Solve for x
   x = 11,036,973,249/47,809.50
6. Step 6: Final answer
   x = 230,853.14