Finding the Third Proportional to 83,644 and 178,924

Step by Step Solution

1. Step 1: Write the proportion equation
   83,644 : 178,924 = 178,924 : x
2. Step 2: Convert to fraction form
   83,644/178,924 = 178,924/x
3. Step 3: Cross multiply
   83,644x = 178,924 × 178,924
4. Step 4: Simplify right side
   83,644x = 32,013,797,776
5. Step 5: Solve for x
   x = 32,013,797,776/83,644
6. Step 6: Final answer
   x = 382,738.72