Finding the Third Proportional to 254,109 and 374,123

Step by Step Solution

1. Step 1: Write the proportion equation
   254,109 : 374,123 = 374,123 : x
2. Step 2: Convert to fraction form
   254,109/374,123 = 374,123/x
3. Step 3: Cross multiply
   254,109x = 374,123 × 374,123
4. Step 4: Simplify right side
   254,109x = 139,968,019,129
5. Step 5: Solve for x
   x = 139,968,019,129/254,109
6. Step 6: Final answer
   x = 550,818.82