Finding the Third Proportional to 134,365 and 194,234.75

Step by Step Solution

1. Step 1: Write the proportion equation
   134,365 : 194,234.75 = 194,234.75 : x
2. Step 2: Convert to fraction form
   134,365/194,234.75 = 194,234.75/x
3. Step 3: Cross multiply
   134,365x = 194,234.75 × 194,234.75
4. Step 4: Simplify right side
   134,365x = 37,727,138,107.56
5. Step 5: Solve for x
   x = 37,727,138,107.56/134,365
6. Step 6: Final answer
   x = 280,780.99