Finding the Third Proportional to 410,632 and 614,274

Step by Step Solution

1. Step 1: Write the proportion equation
   410,632 : 614,274 = 614,274 : x
2. Step 2: Convert to fraction form
   410,632/614,274 = 614,274/x
3. Step 3: Cross multiply
   410,632x = 614,274 × 614,274
4. Step 4: Simplify right side
   410,632x = 377,332,547,076
5. Step 5: Solve for x
   x = 377,332,547,076/410,632
6. Step 6: Final answer
   x = 918,906.82