Finding the Third Proportional to 103,698.50 and 222,085

Step by Step Solution

1. Step 1: Write the proportion equation
   103,698.50 : 222,085 = 222,085 : x
2. Step 2: Convert to fraction form
   103,698.50/222,085 = 222,085/x
3. Step 3: Cross multiply
   103,698.50x = 222,085 × 222,085
4. Step 4: Simplify right side
   103,698.50x = 49,321,747,225
5. Step 5: Solve for x
   x = 49,321,747,225/103,698.50
6. Step 6: Final answer
   x = 475,626.43