Finding the Third Proportional to 111,735 and 234,958.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,735 : 234,958.50 = 234,958.50 : x
2. Step 2: Convert to fraction form
   111,735/234,958.50 = 234,958.50/x
3. Step 3: Cross multiply
   111,735x = 234,958.50 × 234,958.50
4. Step 4: Simplify right side
   111,735x = 55,205,496,722.25
5. Step 5: Solve for x
   x = 55,205,496,722.25/111,735
6. Step 6: Final answer
   x = 494,075.24