Finding the Third Proportional to 364,786.50 and 582,756

Step by Step Solution

1. Step 1: Write the proportion equation
   364,786.50 : 582,756 = 582,756 : x
2. Step 2: Convert to fraction form
   364,786.50/582,756 = 582,756/x
3. Step 3: Cross multiply
   364,786.50x = 582,756 × 582,756
4. Step 4: Simplify right side
   364,786.50x = 339,604,555,536
5. Step 5: Solve for x
   x = 339,604,555,536/364,786.50
6. Step 6: Final answer
   x = 930,967.99