Finding the Third Proportional to 415,924.50 and 851,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,924.50 : 851,557.50 = 851,557.50 : x
2. Step 2: Convert to fraction form
   415,924.50/851,557.50 = 851,557.50/x
3. Step 3: Cross multiply
   415,924.50x = 851,557.50 × 851,557.50
4. Step 4: Simplify right side
   415,924.50x = 725,150,175,806.25
5. Step 5: Solve for x
   x = 725,150,175,806.25/415,924.50
6. Step 6: Final answer
   x = 1,743,465.88