Finding the Third Proportional to 85,200 and 186,960

Step by Step Solution

1. Step 1: Write the proportion equation
   85,200 : 186,960 = 186,960 : x
2. Step 2: Convert to fraction form
   85,200/186,960 = 186,960/x
3. Step 3: Cross multiply
   85,200x = 186,960 × 186,960
4. Step 4: Simplify right side
   85,200x = 34,954,041,600
5. Step 5: Solve for x
   x = 34,954,041,600/85,200
6. Step 6: Final answer
   x = 410,258.70