Finding the Third Proportional to 75,286.50 and 100,369.69

Step by Step Solution

1. Step 1: Write the proportion equation
   75,286.50 : 100,369.69 = 100,369.69 : x
2. Step 2: Convert to fraction form
   75,286.50/100,369.69 = 100,369.69/x
3. Step 3: Cross multiply
   75,286.50x = 100,369.69 × 100,369.69
4. Step 4: Simplify right side
   75,286.50x = 10,074,074,168.85
5. Step 5: Solve for x
   x = 10,074,074,168.85/75,286.50
6. Step 6: Final answer
   x = 133,809.84