Finding the Third Proportional to 107,504 and 233,666

Step by Step Solution

1. Step 1: Write the proportion equation
   107,504 : 233,666 = 233,666 : x
2. Step 2: Convert to fraction form
   107,504/233,666 = 233,666/x
3. Step 3: Cross multiply
   107,504x = 233,666 × 233,666
4. Step 4: Simplify right side
   107,504x = 54,599,799,556
5. Step 5: Solve for x
   x = 54,599,799,556/107,504
6. Step 6: Final answer
   x = 507,886.21