Finding the Third Proportional to 146,570 and 321,196

Step by Step Solution

1. Step 1: Write the proportion equation
   146,570 : 321,196 = 321,196 : x
2. Step 2: Convert to fraction form
   146,570/321,196 = 321,196/x
3. Step 3: Cross multiply
   146,570x = 321,196 × 321,196
4. Step 4: Simplify right side
   146,570x = 103,166,870,416
5. Step 5: Solve for x
   x = 103,166,870,416/146,570
6. Step 6: Final answer
   x = 703,874.40