Finding the Third Proportional to 134,955 and 194,412.75

Step by Step Solution

1. Step 1: Write the proportion equation
   134,955 : 194,412.75 = 194,412.75 : x
2. Step 2: Convert to fraction form
   134,955/194,412.75 = 194,412.75/x
3. Step 3: Cross multiply
   134,955x = 194,412.75 × 194,412.75
4. Step 4: Simplify right side
   134,955x = 37,796,317,362.56
5. Step 5: Solve for x
   x = 37,796,317,362.56/134,955
6. Step 6: Final answer
   x = 280,066.08