Finding the Third Proportional to 77,952 and 171,456

Step by Step Solution

1. Step 1: Write the proportion equation
   77,952 : 171,456 = 171,456 : x
2. Step 2: Convert to fraction form
   77,952/171,456 = 171,456/x
3. Step 3: Cross multiply
   77,952x = 171,456 × 171,456
4. Step 4: Simplify right side
   77,952x = 29,397,159,936
5. Step 5: Solve for x
   x = 29,397,159,936/77,952
6. Step 6: Final answer
   x = 377,118.74