Finding the Third Proportional to 414,912 and 910,144

Step by Step Solution

1. Step 1: Write the proportion equation
   414,912 : 910,144 = 910,144 : x
2. Step 2: Convert to fraction form
   414,912/910,144 = 910,144/x
3. Step 3: Cross multiply
   414,912x = 910,144 × 910,144
4. Step 4: Simplify right side
   414,912x = 828,362,100,736
5. Step 5: Solve for x
   x = 828,362,100,736/414,912
6. Step 6: Final answer
   x = 1,996,476.60