Finding the Third Proportional to 510,644 and 808,208

Step by Step Solution

1. Step 1: Write the proportion equation
   510,644 : 808,208 = 808,208 : x
2. Step 2: Convert to fraction form
   510,644/808,208 = 808,208/x
3. Step 3: Cross multiply
   510,644x = 808,208 × 808,208
4. Step 4: Simplify right side
   510,644x = 653,200,171,264
5. Step 5: Solve for x
   x = 653,200,171,264/510,644
6. Step 6: Final answer
   x = 1,279,169.38