Finding the Third Proportional to 82,397 and 179,896

Step by Step Solution

1. Step 1: Write the proportion equation
   82,397 : 179,896 = 179,896 : x
2. Step 2: Convert to fraction form
   82,397/179,896 = 179,896/x
3. Step 3: Cross multiply
   82,397x = 179,896 × 179,896
4. Step 4: Simplify right side
   82,397x = 32,362,570,816
5. Step 5: Solve for x
   x = 32,362,570,816/82,397
6. Step 6: Final answer
   x = 392,763.95