Finding the Third Proportional to 111,458.25 and 233,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,458.25 : 233,932.50 = 233,932.50 : x
2. Step 2: Convert to fraction form
   111,458.25/233,932.50 = 233,932.50/x
3. Step 3: Cross multiply
   111,458.25x = 233,932.50 × 233,932.50
4. Step 4: Simplify right side
   111,458.25x = 54,724,414,556.25
5. Step 5: Solve for x
   x = 54,724,414,556.25/111,458.25
6. Step 6: Final answer
   x = 490,985.77