Finding the Third Proportional to 85,911 and 174,249

Step by Step Solution

1. Step 1: Write the proportion equation
   85,911 : 174,249 = 174,249 : x
2. Step 2: Convert to fraction form
   85,911/174,249 = 174,249/x
3. Step 3: Cross multiply
   85,911x = 174,249 × 174,249
4. Step 4: Simplify right side
   85,911x = 30,362,714,001
5. Step 5: Solve for x
   x = 30,362,714,001/85,911
6. Step 6: Final answer
   x = 353,420.56