Finding the Third Proportional to 126,364 and 274,870

Step by Step Solution

1. Step 1: Write the proportion equation
   126,364 : 274,870 = 274,870 : x
2. Step 2: Convert to fraction form
   126,364/274,870 = 274,870/x
3. Step 3: Cross multiply
   126,364x = 274,870 × 274,870
4. Step 4: Simplify right side
   126,364x = 75,553,516,900
5. Step 5: Solve for x
   x = 75,553,516,900/126,364
6. Step 6: Final answer
   x = 597,903.81