Finding the Third Proportional to 510,936 and 784,260

Step by Step Solution

1. Step 1: Write the proportion equation
   510,936 : 784,260 = 784,260 : x
2. Step 2: Convert to fraction form
   510,936/784,260 = 784,260/x
3. Step 3: Cross multiply
   510,936x = 784,260 × 784,260
4. Step 4: Simplify right side
   510,936x = 615,063,747,600
5. Step 5: Solve for x
   x = 615,063,747,600/510,936
6. Step 6: Final answer
   x = 1,203,798.02