Finding the Third Proportional to 361,798 and 531,856

Step by Step Solution

1. Step 1: Write the proportion equation
   361,798 : 531,856 = 531,856 : x
2. Step 2: Convert to fraction form
   361,798/531,856 = 531,856/x
3. Step 3: Cross multiply
   361,798x = 531,856 × 531,856
4. Step 4: Simplify right side
   361,798x = 282,870,804,736
5. Step 5: Solve for x
   x = 282,870,804,736/361,798
6. Step 6: Final answer
   x = 781,847.34