Finding the Third Proportional to 144,848 and 194,916

Step by Step Solution

1. Step 1: Write the proportion equation
   144,848 : 194,916 = 194,916 : x
2. Step 2: Convert to fraction form
   144,848/194,916 = 194,916/x
3. Step 3: Cross multiply
   144,848x = 194,916 × 194,916
4. Step 4: Simplify right side
   144,848x = 37,992,247,056
5. Step 5: Solve for x
   x = 37,992,247,056/144,848
6. Step 6: Final answer
   x = 262,290.45