Finding the Third Proportional to 67,116 and 146,223

Step by Step Solution

1. Step 1: Write the proportion equation
   67,116 : 146,223 = 146,223 : x
2. Step 2: Convert to fraction form
   67,116/146,223 = 146,223/x
3. Step 3: Cross multiply
   67,116x = 146,223 × 146,223
4. Step 4: Simplify right side
   67,116x = 21,381,165,729
5. Step 5: Solve for x
   x = 21,381,165,729/67,116
6. Step 6: Final answer
   x = 318,570.32