Finding the Third Proportional to 164,744 and 359,056

Step by Step Solution

1. Step 1: Write the proportion equation
   164,744 : 359,056 = 359,056 : x
2. Step 2: Convert to fraction form
   164,744/359,056 = 359,056/x
3. Step 3: Cross multiply
   164,744x = 359,056 × 359,056
4. Step 4: Simplify right side
   164,744x = 128,921,211,136
5. Step 5: Solve for x
   x = 128,921,211,136/164,744
6. Step 6: Final answer
   x = 782,554.82