Finding the Third Proportional to 102,409.50 and 159,006

Step by Step Solution

1. Step 1: Write the proportion equation
   102,409.50 : 159,006 = 159,006 : x
2. Step 2: Convert to fraction form
   102,409.50/159,006 = 159,006/x
3. Step 3: Cross multiply
   102,409.50x = 159,006 × 159,006
4. Step 4: Simplify right side
   102,409.50x = 25,282,908,036
5. Step 5: Solve for x
   x = 25,282,908,036/102,409.50
6. Step 6: Final answer
   x = 246,880.49