Finding the Third Proportional to 83,812 and 178,856

Step by Step Solution

1. Step 1: Write the proportion equation
   83,812 : 178,856 = 178,856 : x
2. Step 2: Convert to fraction form
   83,812/178,856 = 178,856/x
3. Step 3: Cross multiply
   83,812x = 178,856 × 178,856
4. Step 4: Simplify right side
   83,812x = 31,989,468,736
5. Step 5: Solve for x
   x = 31,989,468,736/83,812
6. Step 6: Final answer
   x = 381,681.25