Finding the Third Proportional to 77,326 and 164,780

Step by Step Solution

1. Step 1: Write the proportion equation
   77,326 : 164,780 = 164,780 : x
2. Step 2: Convert to fraction form
   77,326/164,780 = 164,780/x
3. Step 3: Cross multiply
   77,326x = 164,780 × 164,780
4. Step 4: Simplify right side
   77,326x = 27,152,448,400
5. Step 5: Solve for x
   x = 27,152,448,400/77,326
6. Step 6: Final answer
   x = 351,142.54