Finding the Third Proportional to 400,654 and 816,146

Step by Step Solution

1. Step 1: Write the proportion equation
   400,654 : 816,146 = 816,146 : x
2. Step 2: Convert to fraction form
   400,654/816,146 = 816,146/x
3. Step 3: Cross multiply
   400,654x = 816,146 × 816,146
4. Step 4: Simplify right side
   400,654x = 666,094,293,316
5. Step 5: Solve for x
   x = 666,094,293,316/400,654
6. Step 6: Final answer
   x = 1,662,517.52