Finding the Third Proportional to 150,123 and 278,100

Step by Step Solution

1. Step 1: Write the proportion equation
   150,123 : 278,100 = 278,100 : x
2. Step 2: Convert to fraction form
   150,123/278,100 = 278,100/x
3. Step 3: Cross multiply
   150,123x = 278,100 × 278,100
4. Step 4: Simplify right side
   150,123x = 77,339,610,000
5. Step 5: Solve for x
   x = 77,339,610,000/150,123
6. Step 6: Final answer
   x = 515,174.96