Finding the Third Proportional to 314,766 and 679,788

Step by Step Solution

1. Step 1: Write the proportion equation
   314,766 : 679,788 = 679,788 : x
2. Step 2: Convert to fraction form
   314,766/679,788 = 679,788/x
3. Step 3: Cross multiply
   314,766x = 679,788 × 679,788
4. Step 4: Simplify right side
   314,766x = 462,111,724,944
5. Step 5: Solve for x
   x = 462,111,724,944/314,766
6. Step 6: Final answer
   x = 1,468,111.95