Finding the Third Proportional to 47,055 and 113,803.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,055 : 113,803.50 = 113,803.50 : x
2. Step 2: Convert to fraction form
   47,055/113,803.50 = 113,803.50/x
3. Step 3: Cross multiply
   47,055x = 113,803.50 × 113,803.50
4. Step 4: Simplify right side
   47,055x = 12,951,236,612.25
5. Step 5: Solve for x
   x = 12,951,236,612.25/47,055
6. Step 6: Final answer
   x = 275,236.14