Finding the Third Proportional to 107,662 and 233,983

Step by Step Solution

1. Step 1: Write the proportion equation
   107,662 : 233,983 = 233,983 : x
2. Step 2: Convert to fraction form
   107,662/233,983 = 233,983/x
3. Step 3: Cross multiply
   107,662x = 233,983 × 233,983
4. Step 4: Simplify right side
   107,662x = 54,748,044,289
5. Step 5: Solve for x
   x = 54,748,044,289/107,662
6. Step 6: Final answer
   x = 508,517.81