Finding the Third Proportional to 89,118 and 191,628

Step by Step Solution

1. Step 1: Write the proportion equation
   89,118 : 191,628 = 191,628 : x
2. Step 2: Convert to fraction form
   89,118/191,628 = 191,628/x
3. Step 3: Cross multiply
   89,118x = 191,628 × 191,628
4. Step 4: Simplify right side
   89,118x = 36,721,290,384
5. Step 5: Solve for x
   x = 36,721,290,384/89,118
6. Step 6: Final answer
   x = 412,052.45