Finding the Third Proportional to 519,501.75 and 777,162

Step by Step Solution

1. Step 1: Write the proportion equation
   519,501.75 : 777,162 = 777,162 : x
2. Step 2: Convert to fraction form
   519,501.75/777,162 = 777,162/x
3. Step 3: Cross multiply
   519,501.75x = 777,162 × 777,162
4. Step 4: Simplify right side
   519,501.75x = 603,980,774,244
5. Step 5: Solve for x
   x = 603,980,774,244/519,501.75
6. Step 6: Final answer
   x = 1,162,615.48