Finding the Third Proportional to 123,630 and 185,360

Step by Step Solution

1. Step 1: Write the proportion equation
   123,630 : 185,360 = 185,360 : x
2. Step 2: Convert to fraction form
   123,630/185,360 = 185,360/x
3. Step 3: Cross multiply
   123,630x = 185,360 × 185,360
4. Step 4: Simplify right side
   123,630x = 34,358,329,600
5. Step 5: Solve for x
   x = 34,358,329,600/123,630
6. Step 6: Final answer
   x = 277,912.56