Finding the Third Proportional to 78,344 and 160,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,344 : 160,836.50 = 160,836.50 : x
2. Step 2: Convert to fraction form
   78,344/160,836.50 = 160,836.50/x
3. Step 3: Cross multiply
   78,344x = 160,836.50 × 160,836.50
4. Step 4: Simplify right side
   78,344x = 25,868,379,732.25
5. Step 5: Solve for x
   x = 25,868,379,732.25/78,344
6. Step 6: Final answer
   x = 330,189.67