Finding the Third Proportional to 103,695 and 222,078

Step by Step Solution

1. Step 1: Write the proportion equation
   103,695 : 222,078 = 222,078 : x
2. Step 2: Convert to fraction form
   103,695/222,078 = 222,078/x
3. Step 3: Cross multiply
   103,695x = 222,078 × 222,078
4. Step 4: Simplify right side
   103,695x = 49,318,638,084
5. Step 5: Solve for x
   x = 49,318,638,084/103,695
6. Step 6: Final answer
   x = 475,612.50