Finding the Third Proportional to 113,623 and 177,850.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,623 : 177,850.50 = 177,850.50 : x
2. Step 2: Convert to fraction form
   113,623/177,850.50 = 177,850.50/x
3. Step 3: Cross multiply
   113,623x = 177,850.50 × 177,850.50
4. Step 4: Simplify right side
   113,623x = 31,630,800,350.25
5. Step 5: Solve for x
   x = 31,630,800,350.25/113,623
6. Step 6: Final answer
   x = 278,383.78