Finding the Third Proportional to 106,436 and 233,608

Step by Step Solution

1. Step 1: Write the proportion equation
   106,436 : 233,608 = 233,608 : x
2. Step 2: Convert to fraction form
   106,436/233,608 = 233,608/x
3. Step 3: Cross multiply
   106,436x = 233,608 × 233,608
4. Step 4: Simplify right side
   106,436x = 54,572,697,664
5. Step 5: Solve for x
   x = 54,572,697,664/106,436
6. Step 6: Final answer
   x = 512,727.81