Finding the Third Proportional to 67,870 and 146,145

Step by Step Solution

1. Step 1: Write the proportion equation
   67,870 : 146,145 = 146,145 : x
2. Step 2: Convert to fraction form
   67,870/146,145 = 146,145/x
3. Step 3: Cross multiply
   67,870x = 146,145 × 146,145
4. Step 4: Simplify right side
   67,870x = 21,358,361,025
5. Step 5: Solve for x
   x = 21,358,361,025/67,870
6. Step 6: Final answer
   x = 314,695.17