Finding the Third Proportional to 113,661 and 177,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,661 : 177,907.50 = 177,907.50 : x
2. Step 2: Convert to fraction form
   113,661/177,907.50 = 177,907.50/x
3. Step 3: Cross multiply
   113,661x = 177,907.50 × 177,907.50
4. Step 4: Simplify right side
   113,661x = 31,651,078,556.25
5. Step 5: Solve for x
   x = 31,651,078,556.25/113,661
6. Step 6: Final answer
   x = 278,469.12