Finding the Third Proportional to 65,965 and 155,563

Step by Step Solution

1. Step 1: Write the proportion equation
   65,965 : 155,563 = 155,563 : x
2. Step 2: Convert to fraction form
   65,965/155,563 = 155,563/x
3. Step 3: Cross multiply
   65,965x = 155,563 × 155,563
4. Step 4: Simplify right side
   65,965x = 24,199,846,969
5. Step 5: Solve for x
   x = 24,199,846,969/65,965
6. Step 6: Final answer
   x = 366,858.89