Finding the Third Proportional to 85,860 and 188,847

Step by Step Solution

1. Step 1: Write the proportion equation
   85,860 : 188,847 = 188,847 : x
2. Step 2: Convert to fraction form
   85,860/188,847 = 188,847/x
3. Step 3: Cross multiply
   85,860x = 188,847 × 188,847
4. Step 4: Simplify right side
   85,860x = 35,663,189,409
5. Step 5: Solve for x
   x = 35,663,189,409/85,860
6. Step 6: Final answer
   x = 415,364.42