Finding the Third Proportional to 177,892 and 388,616

Step by Step Solution

1. Step 1: Write the proportion equation
   177,892 : 388,616 = 388,616 : x
2. Step 2: Convert to fraction form
   177,892/388,616 = 388,616/x
3. Step 3: Cross multiply
   177,892x = 388,616 × 388,616
4. Step 4: Simplify right side
   177,892x = 151,022,395,456
5. Step 5: Solve for x
   x = 151,022,395,456/177,892
6. Step 6: Final answer
   x = 848,955.52