Finding the Third Proportional to 82,888 and 178,880

Step by Step Solution

1. Step 1: Write the proportion equation
   82,888 : 178,880 = 178,880 : x
2. Step 2: Convert to fraction form
   82,888/178,880 = 178,880/x
3. Step 3: Cross multiply
   82,888x = 178,880 × 178,880
4. Step 4: Simplify right side
   82,888x = 31,998,054,400
5. Step 5: Solve for x
   x = 31,998,054,400/82,888
6. Step 6: Final answer
   x = 386,039.65