Finding the Third Proportional to 99,516 and 146,355

Step by Step Solution

1. Step 1: Write the proportion equation
   99,516 : 146,355 = 146,355 : x
2. Step 2: Convert to fraction form
   99,516/146,355 = 146,355/x
3. Step 3: Cross multiply
   99,516x = 146,355 × 146,355
4. Step 4: Simplify right side
   99,516x = 21,419,786,025
5. Step 5: Solve for x
   x = 21,419,786,025/99,516
6. Step 6: Final answer
   x = 215,239.62