Finding the Third Proportional to 134,904 and 194,895

Step by Step Solution

1. Step 1: Write the proportion equation
   134,904 : 194,895 = 194,895 : x
2. Step 2: Convert to fraction form
   134,904/194,895 = 194,895/x
3. Step 3: Cross multiply
   134,904x = 194,895 × 194,895
4. Step 4: Simplify right side
   134,904x = 37,984,061,025
5. Step 5: Solve for x
   x = 37,984,061,025/134,904
6. Step 6: Final answer
   x = 281,563.64