Finding the Third Proportional to 384,526.50 and 828,216

Step by Step Solution

1. Step 1: Write the proportion equation
   384,526.50 : 828,216 = 828,216 : x
2. Step 2: Convert to fraction form
   384,526.50/828,216 = 828,216/x
3. Step 3: Cross multiply
   384,526.50x = 828,216 × 828,216
4. Step 4: Simplify right side
   384,526.50x = 685,941,742,656
5. Step 5: Solve for x
   x = 685,941,742,656/384,526.50
6. Step 6: Final answer
   x = 1,783,860.78