Finding the Third Proportional to 107,084 and 233,229

Step by Step Solution

1. Step 1: Write the proportion equation
   107,084 : 233,229 = 233,229 : x
2. Step 2: Convert to fraction form
   107,084/233,229 = 233,229/x
3. Step 3: Cross multiply
   107,084x = 233,229 × 233,229
4. Step 4: Simplify right side
   107,084x = 54,395,766,441
5. Step 5: Solve for x
   x = 54,395,766,441/107,084
6. Step 6: Final answer
   x = 507,972.87