Finding the Third Proportional to 65,910 and 155,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,910 : 155,523.50 = 155,523.50 : x
2. Step 2: Convert to fraction form
   65,910/155,523.50 = 155,523.50/x
3. Step 3: Cross multiply
   65,910x = 155,523.50 × 155,523.50
4. Step 4: Simplify right side
   65,910x = 24,187,559,052.25
5. Step 5: Solve for x
   x = 24,187,559,052.25/65,910
6. Step 6: Final answer
   x = 366,978.59