Finding the Third Proportional to 105,386 and 253,978

Step by Step Solution

1. Step 1: Write the proportion equation
   105,386 : 253,978 = 253,978 : x
2. Step 2: Convert to fraction form
   105,386/253,978 = 253,978/x
3. Step 3: Cross multiply
   105,386x = 253,978 × 253,978
4. Step 4: Simplify right side
   105,386x = 64,504,824,484
5. Step 5: Solve for x
   x = 64,504,824,484/105,386
6. Step 6: Final answer
   x = 612,081.53