Finding the Third Proportional to 102,308 and 241,166

Step by Step Solution

1. Step 1: Write the proportion equation
   102,308 : 241,166 = 241,166 : x
2. Step 2: Convert to fraction form
   102,308/241,166 = 241,166/x
3. Step 3: Cross multiply
   102,308x = 241,166 × 241,166
4. Step 4: Simplify right side
   102,308x = 58,161,039,556
5. Step 5: Solve for x
   x = 58,161,039,556/102,308
6. Step 6: Final answer
   x = 568,489.65