Finding the Third Proportional to 122,886 and 185,456

Step by Step Solution

1. Step 1: Write the proportion equation
   122,886 : 185,456 = 185,456 : x
2. Step 2: Convert to fraction form
   122,886/185,456 = 185,456/x
3. Step 3: Cross multiply
   122,886x = 185,456 × 185,456
4. Step 4: Simplify right side
   122,886x = 34,393,927,936
5. Step 5: Solve for x
   x = 34,393,927,936/122,886
6. Step 6: Final answer
   x = 279,884.84