Finding the Third Proportional to 164,380 and 234,906

Step by Step Solution

1. Step 1: Write the proportion equation
   164,380 : 234,906 = 234,906 : x
2. Step 2: Convert to fraction form
   164,380/234,906 = 234,906/x
3. Step 3: Cross multiply
   164,380x = 234,906 × 234,906
4. Step 4: Simplify right side
   164,380x = 55,180,828,836
5. Step 5: Solve for x
   x = 55,180,828,836/164,380
6. Step 6: Final answer
   x = 335,690.65