Finding the Third Proportional to 333,200 and 476,144

Step by Step Solution

1. Step 1: Write the proportion equation
   333,200 : 476,144 = 476,144 : x
2. Step 2: Convert to fraction form
   333,200/476,144 = 476,144/x
3. Step 3: Cross multiply
   333,200x = 476,144 × 476,144
4. Step 4: Simplify right side
   333,200x = 226,713,108,736
5. Step 5: Solve for x
   x = 226,713,108,736/333,200
6. Step 6: Final answer
   x = 680,411.49