Finding the Third Proportional to 47,105 and 102,390.75

Step by Step Solution

1. Step 1: Write the proportion equation
   47,105 : 102,390.75 = 102,390.75 : x
2. Step 2: Convert to fraction form
   47,105/102,390.75 = 102,390.75/x
3. Step 3: Cross multiply
   47,105x = 102,390.75 × 102,390.75
4. Step 4: Simplify right side
   47,105x = 10,483,865,685.56
5. Step 5: Solve for x
   x = 10,483,865,685.56/47,105
6. Step 6: Final answer
   x = 222,563.76