Finding the Third Proportional to 82,056 and 178,328

Step by Step Solution

1. Step 1: Write the proportion equation
   82,056 : 178,328 = 178,328 : x
2. Step 2: Convert to fraction form
   82,056/178,328 = 178,328/x
3. Step 3: Cross multiply
   82,056x = 178,328 × 178,328
4. Step 4: Simplify right side
   82,056x = 31,800,875,584
5. Step 5: Solve for x
   x = 31,800,875,584/82,056
6. Step 6: Final answer
   x = 387,550.89