Finding the Third Proportional to 103,680 and 222,100

Step by Step Solution

1. Step 1: Write the proportion equation
   103,680 : 222,100 = 222,100 : x
2. Step 2: Convert to fraction form
   103,680/222,100 = 222,100/x
3. Step 3: Cross multiply
   103,680x = 222,100 × 222,100
4. Step 4: Simplify right side
   103,680x = 49,328,410,000
5. Step 5: Solve for x
   x = 49,328,410,000/103,680
6. Step 6: Final answer
   x = 475,775.56