Finding the Third Proportional to 83,216 and 178,144

Step by Step Solution

1. Step 1: Write the proportion equation
   83,216 : 178,144 = 178,144 : x
2. Step 2: Convert to fraction form
   83,216/178,144 = 178,144/x
3. Step 3: Cross multiply
   83,216x = 178,144 × 178,144
4. Step 4: Simplify right side
   83,216x = 31,735,284,736
5. Step 5: Solve for x
   x = 31,735,284,736/83,216
6. Step 6: Final answer
   x = 381,360.37