Finding the Third Proportional to 82,942 and 178,844

Step by Step Solution

1. Step 1: Write the proportion equation
   82,942 : 178,844 = 178,844 : x
2. Step 2: Convert to fraction form
   82,942/178,844 = 178,844/x
3. Step 3: Cross multiply
   82,942x = 178,844 × 178,844
4. Step 4: Simplify right side
   82,942x = 31,985,176,336
5. Step 5: Solve for x
   x = 31,985,176,336/82,942
6. Step 6: Final answer
   x = 385,633.05