Finding the Third Proportional to 374,786 and 816,196

Step by Step Solution

1. Step 1: Write the proportion equation
   374,786 : 816,196 = 816,196 : x
2. Step 2: Convert to fraction form
   374,786/816,196 = 816,196/x
3. Step 3: Cross multiply
   374,786x = 816,196 × 816,196
4. Step 4: Simplify right side
   374,786x = 666,175,910,416
5. Step 5: Solve for x
   x = 666,175,910,416/374,786
6. Step 6: Final answer
   x = 1,777,483.44