Finding the Third Proportional to 95,258 and 174,964

Step by Step Solution

1. Step 1: Write the proportion equation
   95,258 : 174,964 = 174,964 : x
2. Step 2: Convert to fraction form
   95,258/174,964 = 174,964/x
3. Step 3: Cross multiply
   95,258x = 174,964 × 174,964
4. Step 4: Simplify right side
   95,258x = 30,612,401,296
5. Step 5: Solve for x
   x = 30,612,401,296/95,258
6. Step 6: Final answer
   x = 321,363.05