Finding the Third Proportional to 102,871.50 and 146,823

Step by Step Solution

1. Step 1: Write the proportion equation
   102,871.50 : 146,823 = 146,823 : x
2. Step 2: Convert to fraction form
   102,871.50/146,823 = 146,823/x
3. Step 3: Cross multiply
   102,871.50x = 146,823 × 146,823
4. Step 4: Simplify right side
   102,871.50x = 21,556,993,329
5. Step 5: Solve for x
   x = 21,556,993,329/102,871.50
6. Step 6: Final answer
   x = 209,552.63