Finding the Third Proportional to 107,364 and 233,764

Step by Step Solution

1. Step 1: Write the proportion equation
   107,364 : 233,764 = 233,764 : x
2. Step 2: Convert to fraction form
   107,364/233,764 = 233,764/x
3. Step 3: Cross multiply
   107,364x = 233,764 × 233,764
4. Step 4: Simplify right side
   107,364x = 54,645,607,696
5. Step 5: Solve for x
   x = 54,645,607,696/107,364
6. Step 6: Final answer
   x = 508,975.15