Finding the Third Proportional to 121,896 and 185,196

Step by Step Solution

1. Step 1: Write the proportion equation
   121,896 : 185,196 = 185,196 : x
2. Step 2: Convert to fraction form
   121,896/185,196 = 185,196/x
3. Step 3: Cross multiply
   121,896x = 185,196 × 185,196
4. Step 4: Simplify right side
   121,896x = 34,297,558,416
5. Step 5: Solve for x
   x = 34,297,558,416/121,896
6. Step 6: Final answer
   x = 281,367.38