Finding the Third Proportional to 134,667 and 204,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   134,667 : 204,796.50 = 204,796.50 : x
2. Step 2: Convert to fraction form
   134,667/204,796.50 = 204,796.50/x
3. Step 3: Cross multiply
   134,667x = 204,796.50 × 204,796.50
4. Step 4: Simplify right side
   134,667x = 41,941,606,412.25
5. Step 5: Solve for x
   x = 41,941,606,412.25/134,667
6. Step 6: Final answer
   x = 311,446.80