Finding the Third Proportional to 85,871 and 188,869

Step by Step Solution

1. Step 1: Write the proportion equation
   85,871 : 188,869 = 188,869 : x
2. Step 2: Convert to fraction form
   85,871/188,869 = 188,869/x
3. Step 3: Cross multiply
   85,871x = 188,869 × 188,869
4. Step 4: Simplify right side
   85,871x = 35,671,499,161
5. Step 5: Solve for x
   x = 35,671,499,161/85,871
6. Step 6: Final answer
   x = 415,407.99