Finding the Third Proportional to 229,896 and 341,562.38

Step by Step Solution

1. Step 1: Write the proportion equation
   229,896 : 341,562.38 = 341,562.38 : x
2. Step 2: Convert to fraction form
   229,896/341,562.38 = 341,562.38/x
3. Step 3: Cross multiply
   229,896x = 341,562.38 × 341,562.38
4. Step 4: Simplify right side
   229,896x = 116,664,856,015.64
5. Step 5: Solve for x
   x = 116,664,856,015.64/229,896
6. Step 6: Final answer
   x = 507,467.97