Finding the Third Proportional to 321,114 and 705,788

Step by Step Solution

1. Step 1: Write the proportion equation
   321,114 : 705,788 = 705,788 : x
2. Step 2: Convert to fraction form
   321,114/705,788 = 705,788/x
3. Step 3: Cross multiply
   321,114x = 705,788 × 705,788
4. Step 4: Simplify right side
   321,114x = 498,136,700,944
5. Step 5: Solve for x
   x = 498,136,700,944/321,114
6. Step 6: Final answer
   x = 1,551,276.81