Finding the Third Proportional to 381,274 and 821,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,274 : 821,642.50 = 821,642.50 : x
2. Step 2: Convert to fraction form
   381,274/821,642.50 = 821,642.50/x
3. Step 3: Cross multiply
   381,274x = 821,642.50 × 821,642.50
4. Step 4: Simplify right side
   381,274x = 675,096,397,806.25
5. Step 5: Solve for x
   x = 675,096,397,806.25/381,274
6. Step 6: Final answer
   x = 1,770,633.19