Finding the Third Proportional to 103,694 and 222,124

Step by Step Solution

1. Step 1: Write the proportion equation
   103,694 : 222,124 = 222,124 : x
2. Step 2: Convert to fraction form
   103,694/222,124 = 222,124/x
3. Step 3: Cross multiply
   103,694x = 222,124 × 222,124
4. Step 4: Simplify right side
   103,694x = 49,339,071,376
5. Step 5: Solve for x
   x = 49,339,071,376/103,694
6. Step 6: Final answer
   x = 475,814.14