Finding the Third Proportional to 89,636 and 191,048

Step by Step Solution

1. Step 1: Write the proportion equation
   89,636 : 191,048 = 191,048 : x
2. Step 2: Convert to fraction form
   89,636/191,048 = 191,048/x
3. Step 3: Cross multiply
   89,636x = 191,048 × 191,048
4. Step 4: Simplify right side
   89,636x = 36,499,338,304
5. Step 5: Solve for x
   x = 36,499,338,304/89,636
6. Step 6: Final answer
   x = 407,195.08