Finding the Third Proportional to 107,303 and 233,074

Step by Step Solution

1. Step 1: Write the proportion equation
   107,303 : 233,074 = 233,074 : x
2. Step 2: Convert to fraction form
   107,303/233,074 = 233,074/x
3. Step 3: Cross multiply
   107,303x = 233,074 × 233,074
4. Step 4: Simplify right side
   107,303x = 54,323,489,476
5. Step 5: Solve for x
   x = 54,323,489,476/107,303
6. Step 6: Final answer
   x = 506,262.54