Finding the Third Proportional to 133,815.38 and 195,697.69

Step by Step Solution

1. Step 1: Write the proportion equation
   133,815.38 : 195,697.69 = 195,697.69 : x
2. Step 2: Convert to fraction form
   133,815.38/195,697.69 = 195,697.69/x
3. Step 3: Cross multiply
   133,815.38x = 195,697.69 × 195,697.69
4. Step 4: Simplify right side
   133,815.38x = 38,297,584,892.85
5. Step 5: Solve for x
   x = 38,297,584,892.85/133,815.38
6. Step 6: Final answer
   x = 286,197.19