Finding the Third Proportional to 314,567 and 684,429

Step by Step Solution

1. Step 1: Write the proportion equation
   314,567 : 684,429 = 684,429 : x
2. Step 2: Convert to fraction form
   314,567/684,429 = 684,429/x
3. Step 3: Cross multiply
   314,567x = 684,429 × 684,429
4. Step 4: Simplify right side
   314,567x = 468,443,056,041
5. Step 5: Solve for x
   x = 468,443,056,041/314,567
6. Step 6: Final answer
   x = 1,489,167.83