Finding the Third Proportional to 475,794 and 645,870

Step by Step Solution

1. Step 1: Write the proportion equation
   475,794 : 645,870 = 645,870 : x
2. Step 2: Convert to fraction form
   475,794/645,870 = 645,870/x
3. Step 3: Cross multiply
   475,794x = 645,870 × 645,870
4. Step 4: Simplify right side
   475,794x = 417,148,056,900
5. Step 5: Solve for x
   x = 417,148,056,900/475,794
6. Step 6: Final answer
   x = 876,740.89