Finding the Third Proportional to 414,856 and 910,064

Step by Step Solution

1. Step 1: Write the proportion equation
   414,856 : 910,064 = 910,064 : x
2. Step 2: Convert to fraction form
   414,856/910,064 = 910,064/x
3. Step 3: Cross multiply
   414,856x = 910,064 × 910,064
4. Step 4: Simplify right side
   414,856x = 828,216,484,096
5. Step 5: Solve for x
   x = 828,216,484,096/414,856
6. Step 6: Final answer
   x = 1,996,395.10