Finding the Third Proportional to 126,329 and 184,564

Step by Step Solution

1. Step 1: Write the proportion equation
   126,329 : 184,564 = 184,564 : x
2. Step 2: Convert to fraction form
   126,329/184,564 = 184,564/x
3. Step 3: Cross multiply
   126,329x = 184,564 × 184,564
4. Step 4: Simplify right side
   126,329x = 34,063,870,096
5. Step 5: Solve for x
   x = 34,063,870,096/126,329
6. Step 6: Final answer
   x = 269,644.10