Finding the Third Proportional to 510,624 and 779,760

Step by Step Solution

1. Step 1: Write the proportion equation
   510,624 : 779,760 = 779,760 : x
2. Step 2: Convert to fraction form
   510,624/779,760 = 779,760/x
3. Step 3: Cross multiply
   510,624x = 779,760 × 779,760
4. Step 4: Simplify right side
   510,624x = 608,025,657,600
5. Step 5: Solve for x
   x = 608,025,657,600/510,624
6. Step 6: Final answer
   x = 1,190,750.25