Finding the Third Proportional to 90,408 and 189,077

Step by Step Solution

1. Step 1: Write the proportion equation
   90,408 : 189,077 = 189,077 : x
2. Step 2: Convert to fraction form
   90,408/189,077 = 189,077/x
3. Step 3: Cross multiply
   90,408x = 189,077 × 189,077
4. Step 4: Simplify right side
   90,408x = 35,750,111,929
5. Step 5: Solve for x
   x = 35,750,111,929/90,408
6. Step 6: Final answer
   x = 395,430.85