Finding the Third Proportional to 133,386 and 195,081.75

Step by Step Solution

1. Step 1: Write the proportion equation
   133,386 : 195,081.75 = 195,081.75 : x
2. Step 2: Convert to fraction form
   133,386/195,081.75 = 195,081.75/x
3. Step 3: Cross multiply
   133,386x = 195,081.75 × 195,081.75
4. Step 4: Simplify right side
   133,386x = 38,056,889,183.06
5. Step 5: Solve for x
   x = 38,056,889,183.06/133,386
6. Step 6: Final answer
   x = 285,313.97