Finding the Third Proportional to 78,949 and 118,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,949 : 118,183.50 = 118,183.50 : x
2. Step 2: Convert to fraction form
   78,949/118,183.50 = 118,183.50/x
3. Step 3: Cross multiply
   78,949x = 118,183.50 × 118,183.50
4. Step 4: Simplify right side
   78,949x = 13,967,339,672.25
5. Step 5: Solve for x
   x = 13,967,339,672.25/78,949
6. Step 6: Final answer
   x = 176,915.98