Finding the Third Proportional to 95,636 and 208,768

Step by Step Solution

1. Step 1: Write the proportion equation
   95,636 : 208,768 = 208,768 : x
2. Step 2: Convert to fraction form
   95,636/208,768 = 208,768/x
3. Step 3: Cross multiply
   95,636x = 208,768 × 208,768
4. Step 4: Simplify right side
   95,636x = 43,584,077,824
5. Step 5: Solve for x
   x = 43,584,077,824/95,636
6. Step 6: Final answer
   x = 455,728.78