Finding the Third Proportional to 510,678 and 742,042.69

Step by Step Solution

1. Step 1: Write the proportion equation
   510,678 : 742,042.69 = 742,042.69 : x
2. Step 2: Convert to fraction form
   510,678/742,042.69 = 742,042.69/x
3. Step 3: Cross multiply
   510,678x = 742,042.69 × 742,042.69
4. Step 4: Simplify right side
   510,678x = 550,627,350,072.22
5. Step 5: Solve for x
   x = 550,627,350,072.22/510,678
6. Step 6: Final answer
   x = 1,078,228.06