Finding the Third Proportional to 329,308 and 684,454

Step by Step Solution

1. Step 1: Write the proportion equation
   329,308 : 684,454 = 684,454 : x
2. Step 2: Convert to fraction form
   329,308/684,454 = 684,454/x
3. Step 3: Cross multiply
   329,308x = 684,454 × 684,454
4. Step 4: Simplify right side
   329,308x = 468,477,278,116
5. Step 5: Solve for x
   x = 468,477,278,116/329,308
6. Step 6: Final answer
   x = 1,422,611.29