Finding the Third Proportional to 510,015.50 and 771,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   510,015.50 : 771,582.50 = 771,582.50 : x
2. Step 2: Convert to fraction form
   510,015.50/771,582.50 = 771,582.50/x
3. Step 3: Cross multiply
   510,015.50x = 771,582.50 × 771,582.50
4. Step 4: Simplify right side
   510,015.50x = 595,339,554,306.25
5. Step 5: Solve for x
   x = 595,339,554,306.25/510,015.50
6. Step 6: Final answer
   x = 1,167,296.98