Finding the Third Proportional to 164,327 and 234,826

Step by Step Solution

1. Step 1: Write the proportion equation
   164,327 : 234,826 = 234,826 : x
2. Step 2: Convert to fraction form
   164,327/234,826 = 234,826/x
3. Step 3: Cross multiply
   164,327x = 234,826 × 234,826
4. Step 4: Simplify right side
   164,327x = 55,143,250,276
5. Step 5: Solve for x
   x = 55,143,250,276/164,327
6. Step 6: Final answer
   x = 335,570.24