Finding the Third Proportional to 151,328 and 229,096

Step by Step Solution

1. Step 1: Write the proportion equation
   151,328 : 229,096 = 229,096 : x
2. Step 2: Convert to fraction form
   151,328/229,096 = 229,096/x
3. Step 3: Cross multiply
   151,328x = 229,096 × 229,096
4. Step 4: Simplify right side
   151,328x = 52,484,977,216
5. Step 5: Solve for x
   x = 52,484,977,216/151,328
6. Step 6: Final answer
   x = 346,829.25