Finding the Third Proportional to 416,064 and 851,846

Step by Step Solution

1. Step 1: Write the proportion equation
   416,064 : 851,846 = 851,846 : x
2. Step 2: Convert to fraction form
   416,064/851,846 = 851,846/x
3. Step 3: Cross multiply
   416,064x = 851,846 × 851,846
4. Step 4: Simplify right side
   416,064x = 725,641,607,716
5. Step 5: Solve for x
   x = 725,641,607,716/416,064
6. Step 6: Final answer
   x = 1,744,062.47