Finding the Third Proportional to 146,864 and 233,452

Step by Step Solution

1. Step 1: Write the proportion equation
   146,864 : 233,452 = 233,452 : x
2. Step 2: Convert to fraction form
   146,864/233,452 = 233,452/x
3. Step 3: Cross multiply
   146,864x = 233,452 × 233,452
4. Step 4: Simplify right side
   146,864x = 54,499,836,304
5. Step 5: Solve for x
   x = 54,499,836,304/146,864
6. Step 6: Final answer
   x = 371,090.51