Finding the Third Proportional to 177,496.50 and 382,056

Step by Step Solution

1. Step 1: Write the proportion equation
   177,496.50 : 382,056 = 382,056 : x
2. Step 2: Convert to fraction form
   177,496.50/382,056 = 382,056/x
3. Step 3: Cross multiply
   177,496.50x = 382,056 × 382,056
4. Step 4: Simplify right side
   177,496.50x = 145,966,787,136
5. Step 5: Solve for x
   x = 145,966,787,136/177,496.50
6. Step 6: Final answer
   x = 822,364.31