Finding the Third Proportional to 78,268 and 152,616

Step by Step Solution

1. Step 1: Write the proportion equation
   78,268 : 152,616 = 152,616 : x
2. Step 2: Convert to fraction form
   78,268/152,616 = 152,616/x
3. Step 3: Cross multiply
   78,268x = 152,616 × 152,616
4. Step 4: Simplify right side
   78,268x = 23,291,643,456
5. Step 5: Solve for x
   x = 23,291,643,456/78,268
6. Step 6: Final answer
   x = 297,588.33