Finding the Third Proportional to 82,968 and 178,242

Step by Step Solution

1. Step 1: Write the proportion equation
   82,968 : 178,242 = 178,242 : x
2. Step 2: Convert to fraction form
   82,968/178,242 = 178,242/x
3. Step 3: Cross multiply
   82,968x = 178,242 × 178,242
4. Step 4: Simplify right side
   82,968x = 31,770,210,564
5. Step 5: Solve for x
   x = 31,770,210,564/82,968
6. Step 6: Final answer
   x = 382,921.25