Finding the Third Proportional to 95,686 and 208,854

Step by Step Solution

1. Step 1: Write the proportion equation
   95,686 : 208,854 = 208,854 : x
2. Step 2: Convert to fraction form
   95,686/208,854 = 208,854/x
3. Step 3: Cross multiply
   95,686x = 208,854 × 208,854
4. Step 4: Simplify right side
   95,686x = 43,619,993,316
5. Step 5: Solve for x
   x = 43,619,993,316/95,686
6. Step 6: Final answer
   x = 455,865.99