Finding the Third Proportional to 134,651 and 204,774.75

Step by Step Solution

1. Step 1: Write the proportion equation
   134,651 : 204,774.75 = 204,774.75 : x
2. Step 2: Convert to fraction form
   134,651/204,774.75 = 204,774.75/x
3. Step 3: Cross multiply
   134,651x = 204,774.75 × 204,774.75
4. Step 4: Simplify right side
   134,651x = 41,932,698,237.56
5. Step 5: Solve for x
   x = 41,932,698,237.56/134,651
6. Step 6: Final answer
   x = 311,417.65