Finding the Third Proportional to 164,314 and 234,799

Step by Step Solution

1. Step 1: Write the proportion equation
   164,314 : 234,799 = 234,799 : x
2. Step 2: Convert to fraction form
   164,314/234,799 = 234,799/x
3. Step 3: Cross multiply
   164,314x = 234,799 × 234,799
4. Step 4: Simplify right side
   164,314x = 55,130,570,401
5. Step 5: Solve for x
   x = 55,130,570,401/164,314
6. Step 6: Final answer
   x = 335,519.62