Finding the Third Proportional to 83,096 and 178,000

Step by Step Solution

1. Step 1: Write the proportion equation
   83,096 : 178,000 = 178,000 : x
2. Step 2: Convert to fraction form
   83,096/178,000 = 178,000/x
3. Step 3: Cross multiply
   83,096x = 178,000 × 178,000
4. Step 4: Simplify right side
   83,096x = 31,684,000,000
5. Step 5: Solve for x
   x = 31,684,000,000/83,096
6. Step 6: Final answer
   x = 381,293.93