Finding the Third Proportional to 85,881 and 188,889

Step by Step Solution

1. Step 1: Write the proportion equation
   85,881 : 188,889 = 188,889 : x
2. Step 2: Convert to fraction form
   85,881/188,889 = 188,889/x
3. Step 3: Cross multiply
   85,881x = 188,889 × 188,889
4. Step 4: Simplify right side
   85,881x = 35,679,054,321
5. Step 5: Solve for x
   x = 35,679,054,321/85,881
6. Step 6: Final answer
   x = 415,447.59