Finding the Third Proportional to 96,740 and 146,570

Step by Step Solution

1. Step 1: Write the proportion equation
   96,740 : 146,570 = 146,570 : x
2. Step 2: Convert to fraction form
   96,740/146,570 = 146,570/x
3. Step 3: Cross multiply
   96,740x = 146,570 × 146,570
4. Step 4: Simplify right side
   96,740x = 21,482,764,900
5. Step 5: Solve for x
   x = 21,482,764,900/96,740
6. Step 6: Final answer
   x = 222,067.03