Finding the Third Proportional to 77,800 and 158,456

Step by Step Solution

1. Step 1: Write the proportion equation
   77,800 : 158,456 = 158,456 : x
2. Step 2: Convert to fraction form
   77,800/158,456 = 158,456/x
3. Step 3: Cross multiply
   77,800x = 158,456 × 158,456
4. Step 4: Simplify right side
   77,800x = 25,108,303,936
5. Step 5: Solve for x
   x = 25,108,303,936/77,800
6. Step 6: Final answer
   x = 322,728.84