Finding the Third Proportional to 67,876 and 146,156

Step by Step Solution

1. Step 1: Write the proportion equation
   67,876 : 146,156 = 146,156 : x
2. Step 2: Convert to fraction form
   67,876/146,156 = 146,156/x
3. Step 3: Cross multiply
   67,876x = 146,156 × 146,156
4. Step 4: Simplify right side
   67,876x = 21,361,576,336
5. Step 5: Solve for x
   x = 21,361,576,336/67,876
6. Step 6: Final answer
   x = 314,714.72