Finding the Third Proportional to 85,738 and 188,077

Step by Step Solution

1. Step 1: Write the proportion equation
   85,738 : 188,077 = 188,077 : x
2. Step 2: Convert to fraction form
   85,738/188,077 = 188,077/x
3. Step 3: Cross multiply
   85,738x = 188,077 × 188,077
4. Step 4: Simplify right side
   85,738x = 35,372,957,929
5. Step 5: Solve for x
   x = 35,372,957,929/85,738
6. Step 6: Final answer
   x = 412,570.36