Finding the Third Proportional to 85,976 and 189,388

Step by Step Solution

1. Step 1: Write the proportion equation
   85,976 : 189,388 = 189,388 : x
2. Step 2: Convert to fraction form
   85,976/189,388 = 189,388/x
3. Step 3: Cross multiply
   85,976x = 189,388 × 189,388
4. Step 4: Simplify right side
   85,976x = 35,867,814,544
5. Step 5: Solve for x
   x = 35,867,814,544/85,976
6. Step 6: Final answer
   x = 417,184.03