Finding the Third Proportional to 178,848 and 379,016

Step by Step Solution

1. Step 1: Write the proportion equation
   178,848 : 379,016 = 379,016 : x
2. Step 2: Convert to fraction form
   178,848/379,016 = 379,016/x
3. Step 3: Cross multiply
   178,848x = 379,016 × 379,016
4. Step 4: Simplify right side
   178,848x = 143,653,128,256
5. Step 5: Solve for x
   x = 143,653,128,256/178,848
6. Step 6: Final answer
   x = 803,213.50