Finding the Third Proportional to 101,493 and 223,290

Step by Step Solution

1. Step 1: Write the proportion equation
   101,493 : 223,290 = 223,290 : x
2. Step 2: Convert to fraction form
   101,493/223,290 = 223,290/x
3. Step 3: Cross multiply
   101,493x = 223,290 × 223,290
4. Step 4: Simplify right side
   101,493x = 49,858,424,100
5. Step 5: Solve for x
   x = 49,858,424,100/101,493
6. Step 6: Final answer
   x = 491,249.88