Finding the Third Proportional to 233,380 and 512,144

Step by Step Solution

1. Step 1: Write the proportion equation
   233,380 : 512,144 = 512,144 : x
2. Step 2: Convert to fraction form
   233,380/512,144 = 512,144/x
3. Step 3: Cross multiply
   233,380x = 512,144 × 512,144
4. Step 4: Simplify right side
   233,380x = 262,291,476,736
5. Step 5: Solve for x
   x = 262,291,476,736/233,380
6. Step 6: Final answer
   x = 1,123,881.55