Finding the Third Proportional to 470,205 and 685,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   470,205 : 685,624.50 = 685,624.50 : x
2. Step 2: Convert to fraction form
   470,205/685,624.50 = 685,624.50/x
3. Step 3: Cross multiply
   470,205x = 685,624.50 × 685,624.50
4. Step 4: Simplify right side
   470,205x = 470,080,955,000.25
5. Step 5: Solve for x
   x = 470,080,955,000.25/470,205
6. Step 6: Final answer
   x = 999,736.19