Finding the Third Proportional to 178,632 and 375,648

Step by Step Solution

1. Step 1: Write the proportion equation
   178,632 : 375,648 = 375,648 : x
2. Step 2: Convert to fraction form
   178,632/375,648 = 375,648/x
3. Step 3: Cross multiply
   178,632x = 375,648 × 375,648
4. Step 4: Simplify right side
   178,632x = 141,111,419,904
5. Step 5: Solve for x
   x = 141,111,419,904/178,632
6. Step 6: Final answer
   x = 789,956.00