Finding the Third Proportional to 96,768 and 146,610

Step by Step Solution

1. Step 1: Write the proportion equation
   96,768 : 146,610 = 146,610 : x
2. Step 2: Convert to fraction form
   96,768/146,610 = 146,610/x
3. Step 3: Cross multiply
   96,768x = 146,610 × 146,610
4. Step 4: Simplify right side
   96,768x = 21,494,492,100
5. Step 5: Solve for x
   x = 21,494,492,100/96,768
6. Step 6: Final answer
   x = 222,123.97