Finding the Third Proportional to 315,924 and 500,166

Step by Step Solution

1. Step 1: Write the proportion equation
   315,924 : 500,166 = 500,166 : x
2. Step 2: Convert to fraction form
   315,924/500,166 = 500,166/x
3. Step 3: Cross multiply
   315,924x = 500,166 × 500,166
4. Step 4: Simplify right side
   315,924x = 250,166,027,556
5. Step 5: Solve for x
   x = 250,166,027,556/315,924
6. Step 6: Final answer
   x = 791,855.09