Finding the Third Proportional to 102,147.75 and 215,451.56

Step by Step Solution

1. Step 1: Write the proportion equation
   102,147.75 : 215,451.56 = 215,451.56 : x
2. Step 2: Convert to fraction form
   102,147.75/215,451.56 = 215,451.56/x
3. Step 3: Cross multiply
   102,147.75x = 215,451.56 × 215,451.56
4. Step 4: Simplify right side
   102,147.75x = 46,419,375,783.69
5. Step 5: Solve for x
   x = 46,419,375,783.69/102,147.75
6. Step 6: Final answer
   x = 454,433.66