Finding the Third Proportional to 82,280 and 178,960

Step by Step Solution

1. Step 1: Write the proportion equation
   82,280 : 178,960 = 178,960 : x
2. Step 2: Convert to fraction form
   82,280/178,960 = 178,960/x
3. Step 3: Cross multiply
   82,280x = 178,960 × 178,960
4. Step 4: Simplify right side
   82,280x = 32,026,681,600
5. Step 5: Solve for x
   x = 32,026,681,600/82,280
6. Step 6: Final answer
   x = 389,240.18