Finding the Third Proportional to 65,938 and 155,510

Step by Step Solution

1. Step 1: Write the proportion equation
   65,938 : 155,510 = 155,510 : x
2. Step 2: Convert to fraction form
   65,938/155,510 = 155,510/x
3. Step 3: Cross multiply
   65,938x = 155,510 × 155,510
4. Step 4: Simplify right side
   65,938x = 24,183,360,100
5. Step 5: Solve for x
   x = 24,183,360,100/65,938
6. Step 6: Final answer
   x = 366,759.08