Finding the Third Proportional to 107,383 and 233,429

Step by Step Solution

1. Step 1: Write the proportion equation
   107,383 : 233,429 = 233,429 : x
2. Step 2: Convert to fraction form
   107,383/233,429 = 233,429/x
3. Step 3: Cross multiply
   107,383x = 233,429 × 233,429
4. Step 4: Simplify right side
   107,383x = 54,489,098,041
5. Step 5: Solve for x
   x = 54,489,098,041/107,383
6. Step 6: Final answer
   x = 507,427.60