Finding the Third Proportional to 126,460.50 and 264,609

Step by Step Solution

1. Step 1: Write the proportion equation
   126,460.50 : 264,609 = 264,609 : x
2. Step 2: Convert to fraction form
   126,460.50/264,609 = 264,609/x
3. Step 3: Cross multiply
   126,460.50x = 264,609 × 264,609
4. Step 4: Simplify right side
   126,460.50x = 70,017,922,881
5. Step 5: Solve for x
   x = 70,017,922,881/126,460.50
6. Step 6: Final answer
   x = 553,674.25