Finding the Third Proportional to 164,567 and 245,767

Step by Step Solution

1. Step 1: Write the proportion equation
   164,567 : 245,767 = 245,767 : x
2. Step 2: Convert to fraction form
   164,567/245,767 = 245,767/x
3. Step 3: Cross multiply
   164,567x = 245,767 × 245,767
4. Step 4: Simplify right side
   164,567x = 60,401,418,289
5. Step 5: Solve for x
   x = 60,401,418,289/164,567
6. Step 6: Final answer
   x = 367,032.38