Finding the Third Proportional to 102,885 and 146,843.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,885 : 146,843.25 = 146,843.25 : x
2. Step 2: Convert to fraction form
   102,885/146,843.25 = 146,843.25/x
3. Step 3: Cross multiply
   102,885x = 146,843.25 × 146,843.25
4. Step 4: Simplify right side
   102,885x = 21,562,940,070.56
5. Step 5: Solve for x
   x = 21,562,940,070.56/102,885
6. Step 6: Final answer
   x = 209,582.93