Finding the Third Proportional to 828,289.50 and 1,215,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   828,289.50 : 1,215,168.50 = 1,215,168.50 : x
2. Step 2: Convert to fraction form
   828,289.50/1,215,168.50 = 1,215,168.50/x
3. Step 3: Cross multiply
   828,289.50x = 1,215,168.50 × 1,215,168.50
4. Step 4: Simplify right side
   828,289.50x = 1,476,634,483,392.25
5. Step 5: Solve for x
   x = 1,476,634,483,392.25/828,289.50
6. Step 6: Final answer
   x = 1,782,751.66