Finding the Third Proportional to 361,760.50 and 776,009

Step by Step Solution

1. Step 1: Write the proportion equation
   361,760.50 : 776,009 = 776,009 : x
2. Step 2: Convert to fraction form
   361,760.50/776,009 = 776,009/x
3. Step 3: Cross multiply
   361,760.50x = 776,009 × 776,009
4. Step 4: Simplify right side
   361,760.50x = 602,189,968,081
5. Step 5: Solve for x
   x = 602,189,968,081/361,760.50
6. Step 6: Final answer
   x = 1,664,609.51