Finding the Third Proportional to 314,496 and 684,288

Step by Step Solution

1. Step 1: Write the proportion equation
   314,496 : 684,288 = 684,288 : x
2. Step 2: Convert to fraction form
   314,496/684,288 = 684,288/x
3. Step 3: Cross multiply
   314,496x = 684,288 × 684,288
4. Step 4: Simplify right side
   314,496x = 468,250,066,944
5. Step 5: Solve for x
   x = 468,250,066,944/314,496
6. Step 6: Final answer
   x = 1,488,890.37