Finding the Third Proportional to 347,684 and 722,012

Step by Step Solution

1. Step 1: Write the proportion equation
   347,684 : 722,012 = 722,012 : x
2. Step 2: Convert to fraction form
   347,684/722,012 = 722,012/x
3. Step 3: Cross multiply
   347,684x = 722,012 × 722,012
4. Step 4: Simplify right side
   347,684x = 521,301,328,144
5. Step 5: Solve for x
   x = 521,301,328,144/347,684
6. Step 6: Final answer
   x = 1,499,353.80