Finding the Third Proportional to 256,164 and 377,616

Step by Step Solution

1. Step 1: Write the proportion equation
   256,164 : 377,616 = 377,616 : x
2. Step 2: Convert to fraction form
   256,164/377,616 = 377,616/x
3. Step 3: Cross multiply
   256,164x = 377,616 × 377,616
4. Step 4: Simplify right side
   256,164x = 142,593,843,456
5. Step 5: Solve for x
   x = 142,593,843,456/256,164
6. Step 6: Final answer
   x = 556,650.60