Finding the Third Proportional to 359,968 and 514,424

Step by Step Solution

1. Step 1: Write the proportion equation
   359,968 : 514,424 = 514,424 : x
2. Step 2: Convert to fraction form
   359,968/514,424 = 514,424/x
3. Step 3: Cross multiply
   359,968x = 514,424 × 514,424
4. Step 4: Simplify right side
   359,968x = 264,632,051,776
5. Step 5: Solve for x
   x = 264,632,051,776/359,968
6. Step 6: Final answer
   x = 735,154.38