Finding the Third Proportional to 415,612.50 and 894,786

Step by Step Solution

1. Step 1: Write the proportion equation
   415,612.50 : 894,786 = 894,786 : x
2. Step 2: Convert to fraction form
   415,612.50/894,786 = 894,786/x
3. Step 3: Cross multiply
   415,612.50x = 894,786 × 894,786
4. Step 4: Simplify right side
   415,612.50x = 800,641,985,796
5. Step 5: Solve for x
   x = 800,641,985,796/415,612.50
6. Step 6: Final answer
   x = 1,926,414.59