Finding the Third Proportional to 314,091 and 687,996

Step by Step Solution

1. Step 1: Write the proportion equation
   314,091 : 687,996 = 687,996 : x
2. Step 2: Convert to fraction form
   314,091/687,996 = 687,996/x
3. Step 3: Cross multiply
   314,091x = 687,996 × 687,996
4. Step 4: Simplify right side
   314,091x = 473,338,496,016
5. Step 5: Solve for x
   x = 473,338,496,016/314,091
6. Step 6: Final answer
   x = 1,507,010.69