Finding the Third Proportional to 321,294 and 705,648

Step by Step Solution

1. Step 1: Write the proportion equation
   321,294 : 705,648 = 705,648 : x
2. Step 2: Convert to fraction form
   321,294/705,648 = 705,648/x
3. Step 3: Cross multiply
   321,294x = 705,648 × 705,648
4. Step 4: Simplify right side
   321,294x = 497,939,099,904
5. Step 5: Solve for x
   x = 497,939,099,904/321,294
6. Step 6: Final answer
   x = 1,549,792.71