Finding the Third Proportional to 111,009.75 and 233,624.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111,009.75 : 233,624.25 = 233,624.25 : x
2. Step 2: Convert to fraction form
   111,009.75/233,624.25 = 233,624.25/x
3. Step 3: Cross multiply
   111,009.75x = 233,624.25 × 233,624.25
4. Step 4: Simplify right side
   111,009.75x = 54,580,290,188.06
5. Step 5: Solve for x
   x = 54,580,290,188.06/111,009.75
6. Step 6: Final answer
   x = 491,671.14