Finding the Third Proportional to 348,384 and 521,216

Step by Step Solution

1. Step 1: Write the proportion equation
   348,384 : 521,216 = 521,216 : x
2. Step 2: Convert to fraction form
   348,384/521,216 = 521,216/x
3. Step 3: Cross multiply
   348,384x = 521,216 × 521,216
4. Step 4: Simplify right side
   348,384x = 271,666,118,656
5. Step 5: Solve for x
   x = 271,666,118,656/348,384
6. Step 6: Final answer
   x = 779,789.31