Finding the Third Proportional to 176,476 and 384,056

Step by Step Solution

1. Step 1: Write the proportion equation
   176,476 : 384,056 = 384,056 : x
2. Step 2: Convert to fraction form
   176,476/384,056 = 384,056/x
3. Step 3: Cross multiply
   176,476x = 384,056 × 384,056
4. Step 4: Simplify right side
   176,476x = 147,499,011,136
5. Step 5: Solve for x
   x = 147,499,011,136/176,476
6. Step 6: Final answer
   x = 835,802.10