Finding the Third Proportional to 82,836 and 178,788

Step by Step Solution

1. Step 1: Write the proportion equation
   82,836 : 178,788 = 178,788 : x
2. Step 2: Convert to fraction form
   82,836/178,788 = 178,788/x
3. Step 3: Cross multiply
   82,836x = 178,788 × 178,788
4. Step 4: Simplify right side
   82,836x = 31,965,148,944
5. Step 5: Solve for x
   x = 31,965,148,944/82,836
6. Step 6: Final answer
   x = 385,884.75