Finding the Third Proportional to 506,389.50 and 783,846

Step by Step Solution

1. Step 1: Write the proportion equation
   506,389.50 : 783,846 = 783,846 : x
2. Step 2: Convert to fraction form
   506,389.50/783,846 = 783,846/x
3. Step 3: Cross multiply
   506,389.50x = 783,846 × 783,846
4. Step 4: Simplify right side
   506,389.50x = 614,414,551,716
5. Step 5: Solve for x
   x = 614,414,551,716/506,389.50
6. Step 6: Final answer
   x = 1,213,324.04