Finding the Third Proportional to 85,168 and 187,616

Step by Step Solution

1. Step 1: Write the proportion equation
   85,168 : 187,616 = 187,616 : x
2. Step 2: Convert to fraction form
   85,168/187,616 = 187,616/x
3. Step 3: Cross multiply
   85,168x = 187,616 × 187,616
4. Step 4: Simplify right side
   85,168x = 35,199,763,456
5. Step 5: Solve for x
   x = 35,199,763,456/85,168
6. Step 6: Final answer
   x = 413,297.99