Finding the Third Proportional to 72,999 and 149,616

Step by Step Solution

1. Step 1: Write the proportion equation
   72,999 : 149,616 = 149,616 : x
2. Step 2: Convert to fraction form
   72,999/149,616 = 149,616/x
3. Step 3: Cross multiply
   72,999x = 149,616 × 149,616
4. Step 4: Simplify right side
   72,999x = 22,384,947,456
5. Step 5: Solve for x
   x = 22,384,947,456/72,999
6. Step 6: Final answer
   x = 306,647.32