Finding the Third Proportional to 65,978 and 155,591

Step by Step Solution

1. Step 1: Write the proportion equation
   65,978 : 155,591 = 155,591 : x
2. Step 2: Convert to fraction form
   65,978/155,591 = 155,591/x
3. Step 3: Cross multiply
   65,978x = 155,591 × 155,591
4. Step 4: Simplify right side
   65,978x = 24,208,559,281
5. Step 5: Solve for x
   x = 24,208,559,281/65,978
6. Step 6: Final answer
   x = 366,918.66