Finding the Third Proportional to 164,742.50 and 359,698

Step by Step Solution

1. Step 1: Write the proportion equation
   164,742.50 : 359,698 = 359,698 : x
2. Step 2: Convert to fraction form
   164,742.50/359,698 = 359,698/x
3. Step 3: Cross multiply
   164,742.50x = 359,698 × 359,698
4. Step 4: Simplify right side
   164,742.50x = 129,382,651,204
5. Step 5: Solve for x
   x = 129,382,651,204/164,742.50
6. Step 6: Final answer
   x = 785,362.92