Finding the Third Proportional to 107,426 and 233,308

Step by Step Solution

1. Step 1: Write the proportion equation
   107,426 : 233,308 = 233,308 : x
2. Step 2: Convert to fraction form
   107,426/233,308 = 233,308/x
3. Step 3: Cross multiply
   107,426x = 233,308 × 233,308
4. Step 4: Simplify right side
   107,426x = 54,432,622,864
5. Step 5: Solve for x
   x = 54,432,622,864/107,426
6. Step 6: Final answer
   x = 506,698.78