Finding the Third Proportional to 823,914 and 1,175,946

Step by Step Solution

1. Step 1: Write the proportion equation
   823,914 : 1,175,946 = 1,175,946 : x
2. Step 2: Convert to fraction form
   823,914/1,175,946 = 1,175,946/x
3. Step 3: Cross multiply
   823,914x = 1,175,946 × 1,175,946
4. Step 4: Simplify right side
   823,914x = 1,382,848,994,916
5. Step 5: Solve for x
   x = 1,382,848,994,916/823,914
6. Step 6: Final answer
   x = 1,678,389.97