Finding the Third Proportional to 82,811 and 178,850

Step by Step Solution

1. Step 1: Write the proportion equation
   82,811 : 178,850 = 178,850 : x
2. Step 2: Convert to fraction form
   82,811/178,850 = 178,850/x
3. Step 3: Cross multiply
   82,811x = 178,850 × 178,850
4. Step 4: Simplify right side
   82,811x = 31,987,322,500
5. Step 5: Solve for x
   x = 31,987,322,500/82,811
6. Step 6: Final answer
   x = 386,269.00