Finding the Third Proportional to 121,180 and 185,050

Step by Step Solution

1. Step 1: Write the proportion equation
   121,180 : 185,050 = 185,050 : x
2. Step 2: Convert to fraction form
   121,180/185,050 = 185,050/x
3. Step 3: Cross multiply
   121,180x = 185,050 × 185,050
4. Step 4: Simplify right side
   121,180x = 34,243,502,500
5. Step 5: Solve for x
   x = 34,243,502,500/121,180
6. Step 6: Final answer
   x = 282,583.78