Finding the Third Proportional to 107,071.50 and 233,223

Step by Step Solution

1. Step 1: Write the proportion equation
   107,071.50 : 233,223 = 233,223 : x
2. Step 2: Convert to fraction form
   107,071.50/233,223 = 233,223/x
3. Step 3: Cross multiply
   107,071.50x = 233,223 × 233,223
4. Step 4: Simplify right side
   107,071.50x = 54,392,967,729
5. Step 5: Solve for x
   x = 54,392,967,729/107,071.50
6. Step 6: Final answer
   x = 508,006.03