Finding the Third Proportional to 99,152 and 159,616

Step by Step Solution

1. Step 1: Write the proportion equation
   99,152 : 159,616 = 159,616 : x
2. Step 2: Convert to fraction form
   99,152/159,616 = 159,616/x
3. Step 3: Cross multiply
   99,152x = 159,616 × 159,616
4. Step 4: Simplify right side
   99,152x = 25,477,267,456
5. Step 5: Solve for x
   x = 25,477,267,456/99,152
6. Step 6: Final answer
   x = 256,951.62