Finding the Third Proportional to 165,172 and 229,826

Step by Step Solution

1. Step 1: Write the proportion equation
   165,172 : 229,826 = 229,826 : x
2. Step 2: Convert to fraction form
   165,172/229,826 = 229,826/x
3. Step 3: Cross multiply
   165,172x = 229,826 × 229,826
4. Step 4: Simplify right side
   165,172x = 52,819,990,276
5. Step 5: Solve for x
   x = 52,819,990,276/165,172
6. Step 6: Final answer
   x = 319,787.80