Finding the Third Proportional to 107,662 and 233,984

Step by Step Solution

1. Step 1: Write the proportion equation
   107,662 : 233,984 = 233,984 : x
2. Step 2: Convert to fraction form
   107,662/233,984 = 233,984/x
3. Step 3: Cross multiply
   107,662x = 233,984 × 233,984
4. Step 4: Simplify right side
   107,662x = 54,748,512,256
5. Step 5: Solve for x
   x = 54,748,512,256/107,662
6. Step 6: Final answer
   x = 508,522.16