Finding the Third Proportional to 164,288 and 234,928

Step by Step Solution

1. Step 1: Write the proportion equation
   164,288 : 234,928 = 234,928 : x
2. Step 2: Convert to fraction form
   164,288/234,928 = 234,928/x
3. Step 3: Cross multiply
   164,288x = 234,928 × 234,928
4. Step 4: Simplify right side
   164,288x = 55,191,165,184
5. Step 5: Solve for x
   x = 55,191,165,184/164,288
6. Step 6: Final answer
   x = 335,941.55