Finding the Third Proportional to 105,382 and 253,969

Step by Step Solution

1. Step 1: Write the proportion equation
   105,382 : 253,969 = 253,969 : x
2. Step 2: Convert to fraction form
   105,382/253,969 = 253,969/x
3. Step 3: Cross multiply
   105,382x = 253,969 × 253,969
4. Step 4: Simplify right side
   105,382x = 64,500,252,961
5. Step 5: Solve for x
   x = 64,500,252,961/105,382
6. Step 6: Final answer
   x = 612,061.39