Finding the Third Proportional to 475,836 and 645,928

Step by Step Solution

1. Step 1: Write the proportion equation
   475,836 : 645,928 = 645,928 : x
2. Step 2: Convert to fraction form
   475,836/645,928 = 645,928/x
3. Step 3: Cross multiply
   475,836x = 645,928 × 645,928
4. Step 4: Simplify right side
   475,836x = 417,222,981,184
5. Step 5: Solve for x
   x = 417,222,981,184/475,836
6. Step 6: Final answer
   x = 876,820.97