Finding the Third Proportional to 686,464 and 1,062,912

Step by Step Solution

1. Step 1: Write the proportion equation
   686,464 : 1,062,912 = 1,062,912 : x
2. Step 2: Convert to fraction form
   686,464/1,062,912 = 1,062,912/x
3. Step 3: Cross multiply
   686,464x = 1,062,912 × 1,062,912
4. Step 4: Simplify right side
   686,464x = 1,129,781,919,744
5. Step 5: Solve for x
   x = 1,129,781,919,744/686,464
6. Step 6: Final answer
   x = 1,645,799.23