Finding the Third Proportional to 178,380 and 389,928

Step by Step Solution

1. Step 1: Write the proportion equation
   178,380 : 389,928 = 389,928 : x
2. Step 2: Convert to fraction form
   178,380/389,928 = 389,928/x
3. Step 3: Cross multiply
   178,380x = 389,928 × 389,928
4. Step 4: Simplify right side
   178,380x = 152,043,845,184
5. Step 5: Solve for x
   x = 152,043,845,184/178,380
6. Step 6: Final answer
   x = 852,359.26