Finding the Third Proportional to 67,826 and 146,358

Step by Step Solution

1. Step 1: Write the proportion equation
   67,826 : 146,358 = 146,358 : x
2. Step 2: Convert to fraction form
   67,826/146,358 = 146,358/x
3. Step 3: Cross multiply
   67,826x = 146,358 × 146,358
4. Step 4: Simplify right side
   67,826x = 21,420,664,164
5. Step 5: Solve for x
   x = 21,420,664,164/67,826
6. Step 6: Final answer
   x = 315,817.89