Finding the Third Proportional to 418,665 and 917,142

Step by Step Solution

1. Step 1: Write the proportion equation
   418,665 : 917,142 = 917,142 : x
2. Step 2: Convert to fraction form
   418,665/917,142 = 917,142/x
3. Step 3: Cross multiply
   418,665x = 917,142 × 917,142
4. Step 4: Simplify right side
   418,665x = 841,149,448,164
5. Step 5: Solve for x
   x = 841,149,448,164/418,665
6. Step 6: Final answer
   x = 2,009,122.92