Finding the Third Proportional to 78,012 and 171,960

Step by Step Solution

1. Step 1: Write the proportion equation
   78,012 : 171,960 = 171,960 : x
2. Step 2: Convert to fraction form
   78,012/171,960 = 171,960/x
3. Step 3: Cross multiply
   78,012x = 171,960 × 171,960
4. Step 4: Simplify right side
   78,012x = 29,570,241,600
5. Step 5: Solve for x
   x = 29,570,241,600/78,012
6. Step 6: Final answer
   x = 379,047.35