Finding the Third Proportional to 126,714 and 274,340.25

Step by Step Solution

1. Step 1: Write the proportion equation
   126,714 : 274,340.25 = 274,340.25 : x
2. Step 2: Convert to fraction form
   126,714/274,340.25 = 274,340.25/x
3. Step 3: Cross multiply
   126,714x = 274,340.25 × 274,340.25
4. Step 4: Simplify right side
   126,714x = 75,262,572,770.06
5. Step 5: Solve for x
   x = 75,262,572,770.06/126,714
6. Step 6: Final answer
   x = 593,956.25