Finding the Third Proportional to 146,133 and 315,054

Step by Step Solution

1. Step 1: Write the proportion equation
   146,133 : 315,054 = 315,054 : x
2. Step 2: Convert to fraction form
   146,133/315,054 = 315,054/x
3. Step 3: Cross multiply
   146,133x = 315,054 × 315,054
4. Step 4: Simplify right side
   146,133x = 99,259,022,916
5. Step 5: Solve for x
   x = 99,259,022,916/146,133
6. Step 6: Final answer
   x = 679,237.56