Finding the Third Proportional to 416,850 and 645,870

Step by Step Solution

1. Step 1: Write the proportion equation
   416,850 : 645,870 = 645,870 : x
2. Step 2: Convert to fraction form
   416,850/645,870 = 645,870/x
3. Step 3: Cross multiply
   416,850x = 645,870 × 645,870
4. Step 4: Simplify right side
   416,850x = 417,148,056,900
5. Step 5: Solve for x
   x = 417,148,056,900/416,850
6. Step 6: Final answer
   x = 1,000,715.02