Finding the Third Proportional to 415,500 and 594,144

Step by Step Solution

1. Step 1: Write the proportion equation
   415,500 : 594,144 = 594,144 : x
2. Step 2: Convert to fraction form
   415,500/594,144 = 594,144/x
3. Step 3: Cross multiply
   415,500x = 594,144 × 594,144
4. Step 4: Simplify right side
   415,500x = 353,007,092,736
5. Step 5: Solve for x
   x = 353,007,092,736/415,500
6. Step 6: Final answer
   x = 849,595.89