Finding the Third Proportional to 381,367.50 and 828,342

Step by Step Solution

1. Step 1: Write the proportion equation
   381,367.50 : 828,342 = 828,342 : x
2. Step 2: Convert to fraction form
   381,367.50/828,342 = 828,342/x
3. Step 3: Cross multiply
   381,367.50x = 828,342 × 828,342
4. Step 4: Simplify right side
   381,367.50x = 686,150,468,964
5. Step 5: Solve for x
   x = 686,150,468,964/381,367.50
6. Step 6: Final answer
   x = 1,799,184.43