Finding the Third Proportional to 122,895 and 185,208

Step by Step Solution

1. Step 1: Write the proportion equation
   122,895 : 185,208 = 185,208 : x
2. Step 2: Convert to fraction form
   122,895/185,208 = 185,208/x
3. Step 3: Cross multiply
   122,895x = 185,208 × 185,208
4. Step 4: Simplify right side
   122,895x = 34,302,003,264
5. Step 5: Solve for x
   x = 34,302,003,264/122,895
6. Step 6: Final answer
   x = 279,116.35