Finding the Third Proportional to 164,747 and 359,706

Step by Step Solution

1. Step 1: Write the proportion equation
   164,747 : 359,706 = 359,706 : x
2. Step 2: Convert to fraction form
   164,747/359,706 = 359,706/x
3. Step 3: Cross multiply
   164,747x = 359,706 × 359,706
4. Step 4: Simplify right side
   164,747x = 129,388,406,436
5. Step 5: Solve for x
   x = 129,388,406,436/164,747
6. Step 6: Final answer
   x = 785,376.40