Finding the Third Proportional to 227,619 and 342,162

Step by Step Solution

1. Step 1: Write the proportion equation
   227,619 : 342,162 = 342,162 : x
2. Step 2: Convert to fraction form
   227,619/342,162 = 342,162/x
3. Step 3: Cross multiply
   227,619x = 342,162 × 342,162
4. Step 4: Simplify right side
   227,619x = 117,074,834,244
5. Step 5: Solve for x
   x = 117,074,834,244/227,619
6. Step 6: Final answer
   x = 514,345.61