Finding the Third Proportional to 87,786 and 188,895

Step by Step Solution

1. Step 1: Write the proportion equation
   87,786 : 188,895 = 188,895 : x
2. Step 2: Convert to fraction form
   87,786/188,895 = 188,895/x
3. Step 3: Cross multiply
   87,786x = 188,895 × 188,895
4. Step 4: Simplify right side
   87,786x = 35,681,321,025
5. Step 5: Solve for x
   x = 35,681,321,025/87,786
6. Step 6: Final answer
   x = 406,457.99