Finding the Third Proportional to 111,644.25 and 146,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,644.25 : 146,014.50 = 146,014.50 : x
2. Step 2: Convert to fraction form
   111,644.25/146,014.50 = 146,014.50/x
3. Step 3: Cross multiply
   111,644.25x = 146,014.50 × 146,014.50
4. Step 4: Simplify right side
   111,644.25x = 21,320,234,210.25
5. Step 5: Solve for x
   x = 21,320,234,210.25/111,644.25
6. Step 6: Final answer
   x = 190,965.81