Finding the Third Proportional to 76,491 and 164,061

Step by Step Solution

1. Step 1: Write the proportion equation
   76,491 : 164,061 = 164,061 : x
2. Step 2: Convert to fraction form
   76,491/164,061 = 164,061/x
3. Step 3: Cross multiply
   76,491x = 164,061 × 164,061
4. Step 4: Simplify right side
   76,491x = 26,916,011,721
5. Step 5: Solve for x
   x = 26,916,011,721/76,491
6. Step 6: Final answer
   x = 351,884.69