Finding the Third Proportional to 115,467 and 177,940.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,467 : 177,940.50 = 177,940.50 : x
2. Step 2: Convert to fraction form
   115,467/177,940.50 = 177,940.50/x
3. Step 3: Cross multiply
   115,467x = 177,940.50 × 177,940.50
4. Step 4: Simplify right side
   115,467x = 31,662,821,540.25
5. Step 5: Solve for x
   x = 31,662,821,540.25/115,467
6. Step 6: Final answer
   x = 274,215.33