Finding the Third Proportional to 83,760 and 177,216

Step by Step Solution

1. Step 1: Write the proportion equation
   83,760 : 177,216 = 177,216 : x
2. Step 2: Convert to fraction form
   83,760/177,216 = 177,216/x
3. Step 3: Cross multiply
   83,760x = 177,216 × 177,216
4. Step 4: Simplify right side
   83,760x = 31,405,510,656
5. Step 5: Solve for x
   x = 31,405,510,656/83,760
6. Step 6: Final answer
   x = 374,946.40