Finding the Third Proportional to 78,996 and 173,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,996 : 173,299.50 = 173,299.50 : x
2. Step 2: Convert to fraction form
   78,996/173,299.50 = 173,299.50/x
3. Step 3: Cross multiply
   78,996x = 173,299.50 × 173,299.50
4. Step 4: Simplify right side
   78,996x = 30,032,716,700.25
5. Step 5: Solve for x
   x = 30,032,716,700.25/78,996
6. Step 6: Final answer
   x = 380,180.22