Finding the Third Proportional to 99,648 and 146,556

Step by Step Solution

1. Step 1: Write the proportion equation
   99,648 : 146,556 = 146,556 : x
2. Step 2: Convert to fraction form
   99,648/146,556 = 146,556/x
3. Step 3: Cross multiply
   99,648x = 146,556 × 146,556
4. Step 4: Simplify right side
   99,648x = 21,478,661,136
5. Step 5: Solve for x
   x = 21,478,661,136/99,648
6. Step 6: Final answer
   x = 215,545.33