Finding the Third Proportional to 510,543 and 784,890

Step by Step Solution

1. Step 1: Write the proportion equation
   510,543 : 784,890 = 784,890 : x
2. Step 2: Convert to fraction form
   510,543/784,890 = 784,890/x
3. Step 3: Cross multiply
   510,543x = 784,890 × 784,890
4. Step 4: Simplify right side
   510,543x = 616,052,312,100
5. Step 5: Solve for x
   x = 616,052,312,100/510,543
6. Step 6: Final answer
   x = 1,206,660.97