Finding the Third Proportional to 314,566 and 684,426

Step by Step Solution

1. Step 1: Write the proportion equation
   314,566 : 684,426 = 684,426 : x
2. Step 2: Convert to fraction form
   314,566/684,426 = 684,426/x
3. Step 3: Cross multiply
   314,566x = 684,426 × 684,426
4. Step 4: Simplify right side
   314,566x = 468,438,949,476
5. Step 5: Solve for x
   x = 468,438,949,476/314,566
6. Step 6: Final answer
   x = 1,489,159.51