Finding the Third Proportional to 130,944 and 195,456

Step by Step Solution

1. Step 1: Write the proportion equation
   130,944 : 195,456 = 195,456 : x
2. Step 2: Convert to fraction form
   130,944/195,456 = 195,456/x
3. Step 3: Cross multiply
   130,944x = 195,456 × 195,456
4. Step 4: Simplify right side
   130,944x = 38,203,047,936
5. Step 5: Solve for x
   x = 38,203,047,936/130,944
6. Step 6: Final answer
   x = 291,751.04