Finding the Third Proportional to 76,697 and 164,323

Step by Step Solution

1. Step 1: Write the proportion equation
   76,697 : 164,323 = 164,323 : x
2. Step 2: Convert to fraction form
   76,697/164,323 = 164,323/x
3. Step 3: Cross multiply
   76,697x = 164,323 × 164,323
4. Step 4: Simplify right side
   76,697x = 27,002,048,329
5. Step 5: Solve for x
   x = 27,002,048,329/76,697
6. Step 6: Final answer
   x = 352,061.34