Finding the Third Proportional to 233,874 and 364,500

Step by Step Solution

1. Step 1: Write the proportion equation
   233,874 : 364,500 = 364,500 : x
2. Step 2: Convert to fraction form
   233,874/364,500 = 364,500/x
3. Step 3: Cross multiply
   233,874x = 364,500 × 364,500
4. Step 4: Simplify right side
   233,874x = 132,860,250,000
5. Step 5: Solve for x
   x = 132,860,250,000/233,874
6. Step 6: Final answer
   x = 568,084.74