Finding the Third Proportional to 82,284 and 178,968

Step by Step Solution

1. Step 1: Write the proportion equation
   82,284 : 178,968 = 178,968 : x
2. Step 2: Convert to fraction form
   82,284/178,968 = 178,968/x
3. Step 3: Cross multiply
   82,284x = 178,968 × 178,968
4. Step 4: Simplify right side
   82,284x = 32,029,545,024
5. Step 5: Solve for x
   x = 32,029,545,024/82,284
6. Step 6: Final answer
   x = 389,256.05