Finding the Third Proportional to 142,166 and 301,824

Step by Step Solution

1. Step 1: Write the proportion equation
   142,166 : 301,824 = 301,824 : x
2. Step 2: Convert to fraction form
   142,166/301,824 = 301,824/x
3. Step 3: Cross multiply
   142,166x = 301,824 × 301,824
4. Step 4: Simplify right side
   142,166x = 91,097,726,976
5. Step 5: Solve for x
   x = 91,097,726,976/142,166
6. Step 6: Final answer
   x = 640,784.20