Finding the Third Proportional to 106,882.50 and 225,780

Step by Step Solution

1. Step 1: Write the proportion equation
   106,882.50 : 225,780 = 225,780 : x
2. Step 2: Convert to fraction form
   106,882.50/225,780 = 225,780/x
3. Step 3: Cross multiply
   106,882.50x = 225,780 × 225,780
4. Step 4: Simplify right side
   106,882.50x = 50,976,608,400
5. Step 5: Solve for x
   x = 50,976,608,400/106,882.50
6. Step 6: Final answer
   x = 476,940.64