Finding the Third Proportional to 510,046 and 787,014

Step by Step Solution

1. Step 1: Write the proportion equation
   510,046 : 787,014 = 787,014 : x
2. Step 2: Convert to fraction form
   510,046/787,014 = 787,014/x
3. Step 3: Cross multiply
   510,046x = 787,014 × 787,014
4. Step 4: Simplify right side
   510,046x = 619,391,036,196
5. Step 5: Solve for x
   x = 619,391,036,196/510,046
6. Step 6: Final answer
   x = 1,214,382.70