Finding the Third Proportional to 67,822 and 146,576

Step by Step Solution

1. Step 1: Write the proportion equation
   67,822 : 146,576 = 146,576 : x
2. Step 2: Convert to fraction form
   67,822/146,576 = 146,576/x
3. Step 3: Cross multiply
   67,822x = 146,576 × 146,576
4. Step 4: Simplify right side
   67,822x = 21,484,523,776
5. Step 5: Solve for x
   x = 21,484,523,776/67,822
6. Step 6: Final answer
   x = 316,778.09