Finding the Third Proportional to 401,496 and 591,152

Step by Step Solution

1. Step 1: Write the proportion equation
   401,496 : 591,152 = 591,152 : x
2. Step 2: Convert to fraction form
   401,496/591,152 = 591,152/x
3. Step 3: Cross multiply
   401,496x = 591,152 × 591,152
4. Step 4: Simplify right side
   401,496x = 349,460,687,104
5. Step 5: Solve for x
   x = 349,460,687,104/401,496
6. Step 6: Final answer
   x = 870,396.44