Finding the Third Proportional to 347,804 and 465,870

Step by Step Solution

1. Step 1: Write the proportion equation
   347,804 : 465,870 = 465,870 : x
2. Step 2: Convert to fraction form
   347,804/465,870 = 465,870/x
3. Step 3: Cross multiply
   347,804x = 465,870 × 465,870
4. Step 4: Simplify right side
   347,804x = 217,034,856,900
5. Step 5: Solve for x
   x = 217,034,856,900/347,804
6. Step 6: Final answer
   x = 624,014.84