Finding the Third Proportional to 83,622 and 178,692

Step by Step Solution

1. Step 1: Write the proportion equation
   83,622 : 178,692 = 178,692 : x
2. Step 2: Convert to fraction form
   83,622/178,692 = 178,692/x
3. Step 3: Cross multiply
   83,622x = 178,692 × 178,692
4. Step 4: Simplify right side
   83,622x = 31,930,830,864
5. Step 5: Solve for x
   x = 31,930,830,864/83,622
6. Step 6: Final answer
   x = 381,847.25