Finding the Third Proportional to 105,380 and 251,882

Step by Step Solution

1. Step 1: Write the proportion equation
   105,380 : 251,882 = 251,882 : x
2. Step 2: Convert to fraction form
   105,380/251,882 = 251,882/x
3. Step 3: Cross multiply
   105,380x = 251,882 × 251,882
4. Step 4: Simplify right side
   105,380x = 63,444,541,924
5. Step 5: Solve for x
   x = 63,444,541,924/105,380
6. Step 6: Final answer
   x = 602,054.87