Finding the Third Proportional to 138,096 and 302,550.75

Step by Step Solution

1. Step 1: Write the proportion equation
   138,096 : 302,550.75 = 302,550.75 : x
2. Step 2: Convert to fraction form
   138,096/302,550.75 = 302,550.75/x
3. Step 3: Cross multiply
   138,096x = 302,550.75 × 302,550.75
4. Step 4: Simplify right side
   138,096x = 91,536,956,325.56
5. Step 5: Solve for x
   x = 91,536,956,325.56/138,096
6. Step 6: Final answer
   x = 662,850.16