Finding the Third Proportional to 83,928 and 178,044

Step by Step Solution

1. Step 1: Write the proportion equation
   83,928 : 178,044 = 178,044 : x
2. Step 2: Convert to fraction form
   83,928/178,044 = 178,044/x
3. Step 3: Cross multiply
   83,928x = 178,044 × 178,044
4. Step 4: Simplify right side
   83,928x = 31,699,665,936
5. Step 5: Solve for x
   x = 31,699,665,936/83,928
6. Step 6: Final answer
   x = 377,700.72