Finding the Third Proportional to 383,760 and 536,784

Step by Step Solution

1. Step 1: Write the proportion equation
   383,760 : 536,784 = 536,784 : x
2. Step 2: Convert to fraction form
   383,760/536,784 = 536,784/x
3. Step 3: Cross multiply
   383,760x = 536,784 × 536,784
4. Step 4: Simplify right side
   383,760x = 288,137,062,656
5. Step 5: Solve for x
   x = 288,137,062,656/383,760
6. Step 6: Final answer
   x = 750,826.20