Finding the Third Proportional to 103,673 and 222,506

Step by Step Solution

1. Step 1: Write the proportion equation
   103,673 : 222,506 = 222,506 : x
2. Step 2: Convert to fraction form
   103,673/222,506 = 222,506/x
3. Step 3: Cross multiply
   103,673x = 222,506 × 222,506
4. Step 4: Simplify right side
   103,673x = 49,508,920,036
5. Step 5: Solve for x
   x = 49,508,920,036/103,673
6. Step 6: Final answer
   x = 477,548.83