Finding the Third Proportional to 111,264 and 140,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,264 : 140,974.50 = 140,974.50 : x
2. Step 2: Convert to fraction form
   111,264/140,974.50 = 140,974.50/x
3. Step 3: Cross multiply
   111,264x = 140,974.50 × 140,974.50
4. Step 4: Simplify right side
   111,264x = 19,873,809,650.25
5. Step 5: Solve for x
   x = 19,873,809,650.25/111,264
6. Step 6: Final answer
   x = 178,618.51