Finding the Third Proportional to 348,946 and 523,404

Step by Step Solution

1. Step 1: Write the proportion equation
   348,946 : 523,404 = 523,404 : x
2. Step 2: Convert to fraction form
   348,946/523,404 = 523,404/x
3. Step 3: Cross multiply
   348,946x = 523,404 × 523,404
4. Step 4: Simplify right side
   348,946x = 273,951,747,216
5. Step 5: Solve for x
   x = 273,951,747,216/348,946
6. Step 6: Final answer
   x = 785,083.50