Finding the Third Proportional to 89,338 and 191,632

Step by Step Solution

1. Step 1: Write the proportion equation
   89,338 : 191,632 = 191,632 : x
2. Step 2: Convert to fraction form
   89,338/191,632 = 191,632/x
3. Step 3: Cross multiply
   89,338x = 191,632 × 191,632
4. Step 4: Simplify right side
   89,338x = 36,722,823,424
5. Step 5: Solve for x
   x = 36,722,823,424/89,338
6. Step 6: Final answer
   x = 411,054.91