Finding the Third Proportional to 74,780 and 164,384

Step by Step Solution

1. Step 1: Write the proportion equation
   74,780 : 164,384 = 164,384 : x
2. Step 2: Convert to fraction form
   74,780/164,384 = 164,384/x
3. Step 3: Cross multiply
   74,780x = 164,384 × 164,384
4. Step 4: Simplify right side
   74,780x = 27,022,099,456
5. Step 5: Solve for x
   x = 27,022,099,456/74,780
6. Step 6: Final answer
   x = 361,354.63