Finding the Third Proportional to 345,032 and 515,404

Step by Step Solution

1. Step 1: Write the proportion equation
   345,032 : 515,404 = 515,404 : x
2. Step 2: Convert to fraction form
   345,032/515,404 = 515,404/x
3. Step 3: Cross multiply
   345,032x = 515,404 × 515,404
4. Step 4: Simplify right side
   345,032x = 265,641,283,216
5. Step 5: Solve for x
   x = 265,641,283,216/345,032
6. Step 6: Final answer
   x = 769,903.32