Finding the Third Proportional to 400,665 and 816,174

Step by Step Solution

1. Step 1: Write the proportion equation
   400,665 : 816,174 = 816,174 : x
2. Step 2: Convert to fraction form
   400,665/816,174 = 816,174/x
3. Step 3: Cross multiply
   400,665x = 816,174 × 816,174
4. Step 4: Simplify right side
   400,665x = 666,139,998,276
5. Step 5: Solve for x
   x = 666,139,998,276/400,665
6. Step 6: Final answer
   x = 1,662,585.95