Finding the Third Proportional to 103,693 and 222,490

Step by Step Solution

1. Step 1: Write the proportion equation
   103,693 : 222,490 = 222,490 : x
2. Step 2: Convert to fraction form
   103,693/222,490 = 222,490/x
3. Step 3: Cross multiply
   103,693x = 222,490 × 222,490
4. Step 4: Simplify right side
   103,693x = 49,501,800,100
5. Step 5: Solve for x
   x = 49,501,800,100/103,693
6. Step 6: Final answer
   x = 477,388.06