Finding the Third Proportional to 135,219.38 and 195,858

Step by Step Solution

1. Step 1: Write the proportion equation
   135,219.38 : 195,858 = 195,858 : x
2. Step 2: Convert to fraction form
   135,219.38/195,858 = 195,858/x
3. Step 3: Cross multiply
   135,219.38x = 195,858 × 195,858
4. Step 4: Simplify right side
   135,219.38x = 38,360,356,164
5. Step 5: Solve for x
   x = 38,360,356,164/135,219.38
6. Step 6: Final answer
   x = 283,689.79