Finding the Third Proportional to 107,145.50 and 233,339.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,145.50 : 233,339.50 = 233,339.50 : x
2. Step 2: Convert to fraction form
   107,145.50/233,339.50 = 233,339.50/x
3. Step 3: Cross multiply
   107,145.50x = 233,339.50 × 233,339.50
4. Step 4: Simplify right side
   107,145.50x = 54,447,322,260.25
5. Step 5: Solve for x
   x = 54,447,322,260.25/107,145.50
6. Step 6: Final answer
   x = 508,162.47