Finding the Third Proportional to 67,514 and 147,738

Step by Step Solution

1. Step 1: Write the proportion equation
   67,514 : 147,738 = 147,738 : x
2. Step 2: Convert to fraction form
   67,514/147,738 = 147,738/x
3. Step 3: Cross multiply
   67,514x = 147,738 × 147,738
4. Step 4: Simplify right side
   67,514x = 21,826,516,644
5. Step 5: Solve for x
   x = 21,826,516,644/67,514
6. Step 6: Final answer
   x = 323,288.75