Finding the Third Proportional to 83,211 and 178,860

Step by Step Solution

1. Step 1: Write the proportion equation
   83,211 : 178,860 = 178,860 : x
2. Step 2: Convert to fraction form
   83,211/178,860 = 178,860/x
3. Step 3: Cross multiply
   83,211x = 178,860 × 178,860
4. Step 4: Simplify right side
   83,211x = 31,990,899,600
5. Step 5: Solve for x
   x = 31,990,899,600/83,211
6. Step 6: Final answer
   x = 384,455.18