Finding the Third Proportional to 414,978 and 910,300

Step by Step Solution

1. Step 1: Write the proportion equation
   414,978 : 910,300 = 910,300 : x
2. Step 2: Convert to fraction form
   414,978/910,300 = 910,300/x
3. Step 3: Cross multiply
   414,978x = 910,300 × 910,300
4. Step 4: Simplify right side
   414,978x = 828,646,090,000
5. Step 5: Solve for x
   x = 828,646,090,000/414,978
6. Step 6: Final answer
   x = 1,996,843.42