Finding the Third Proportional to 231,624 and 367,065

Step by Step Solution

1. Step 1: Write the proportion equation
   231,624 : 367,065 = 367,065 : x
2. Step 2: Convert to fraction form
   231,624/367,065 = 367,065/x
3. Step 3: Cross multiply
   231,624x = 367,065 × 367,065
4. Step 4: Simplify right side
   231,624x = 134,736,714,225
5. Step 5: Solve for x
   x = 134,736,714,225/231,624
6. Step 6: Final answer
   x = 581,704.46