Finding the Third Proportional to 146,800 and 322,112

Step by Step Solution

1. Step 1: Write the proportion equation
   146,800 : 322,112 = 322,112 : x
2. Step 2: Convert to fraction form
   146,800/322,112 = 322,112/x
3. Step 3: Cross multiply
   146,800x = 322,112 × 322,112
4. Step 4: Simplify right side
   146,800x = 103,756,140,544
5. Step 5: Solve for x
   x = 103,756,140,544/146,800
6. Step 6: Final answer
   x = 706,785.70