Finding the Third Proportional to 105,346 and 223,086

Step by Step Solution

1. Step 1: Write the proportion equation
   105,346 : 223,086 = 223,086 : x
2. Step 2: Convert to fraction form
   105,346/223,086 = 223,086/x
3. Step 3: Cross multiply
   105,346x = 223,086 × 223,086
4. Step 4: Simplify right side
   105,346x = 49,767,363,396
5. Step 5: Solve for x
   x = 49,767,363,396/105,346
6. Step 6: Final answer
   x = 472,418.16