Finding the Third Proportional to 69,123 and 151,638

Step by Step Solution

1. Step 1: Write the proportion equation
   69,123 : 151,638 = 151,638 : x
2. Step 2: Convert to fraction form
   69,123/151,638 = 151,638/x
3. Step 3: Cross multiply
   69,123x = 151,638 × 151,638
4. Step 4: Simplify right side
   69,123x = 22,994,083,044
5. Step 5: Solve for x
   x = 22,994,083,044/69,123
6. Step 6: Final answer
   x = 332,654.59