Finding the Third Proportional to 95,458 and 145,698

Step by Step Solution

1. Step 1: Write the proportion equation
   95,458 : 145,698 = 145,698 : x
2. Step 2: Convert to fraction form
   95,458/145,698 = 145,698/x
3. Step 3: Cross multiply
   95,458x = 145,698 × 145,698
4. Step 4: Simplify right side
   95,458x = 21,227,907,204
5. Step 5: Solve for x
   x = 21,227,907,204/95,458
6. Step 6: Final answer
   x = 222,379.55