Finding the Third Proportional to 107,364 and 233,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,364 : 233,227.50 = 233,227.50 : x
2. Step 2: Convert to fraction form
   107,364/233,227.50 = 233,227.50/x
3. Step 3: Cross multiply
   107,364x = 233,227.50 × 233,227.50
4. Step 4: Simplify right side
   107,364x = 54,395,066,756.25
5. Step 5: Solve for x
   x = 54,395,066,756.25/107,364
6. Step 6: Final answer
   x = 506,641.58