Finding the Third Proportional to 78,936 and 173,424

Step by Step Solution

1. Step 1: Write the proportion equation
   78,936 : 173,424 = 173,424 : x
2. Step 2: Convert to fraction form
   78,936/173,424 = 173,424/x
3. Step 3: Cross multiply
   78,936x = 173,424 × 173,424
4. Step 4: Simplify right side
   78,936x = 30,075,883,776
5. Step 5: Solve for x
   x = 30,075,883,776/78,936
6. Step 6: Final answer
   x = 381,016.06