Finding the Third Proportional to 174,968 and 419,924

Step by Step Solution

1. Step 1: Write the proportion equation
   174,968 : 419,924 = 419,924 : x
2. Step 2: Convert to fraction form
   174,968/419,924 = 419,924/x
3. Step 3: Cross multiply
   174,968x = 419,924 × 419,924
4. Step 4: Simplify right side
   174,968x = 176,336,165,776
5. Step 5: Solve for x
   x = 176,336,165,776/174,968
6. Step 6: Final answer
   x = 1,007,819.52