Finding the Third Proportional to 355,119.75 and 478,458

Step by Step Solution

1. Step 1: Write the proportion equation
   355,119.75 : 478,458 = 478,458 : x
2. Step 2: Convert to fraction form
   355,119.75/478,458 = 478,458/x
3. Step 3: Cross multiply
   355,119.75x = 478,458 × 478,458
4. Step 4: Simplify right side
   355,119.75x = 228,922,057,764
5. Step 5: Solve for x
   x = 228,922,057,764/355,119.75
6. Step 6: Final answer
   x = 644,633.42