Finding the Third Proportional to 146,739 and 233,422

Step by Step Solution

1. Step 1: Write the proportion equation
   146,739 : 233,422 = 233,422 : x
2. Step 2: Convert to fraction form
   146,739/233,422 = 233,422/x
3. Step 3: Cross multiply
   146,739x = 233,422 × 233,422
4. Step 4: Simplify right side
   146,739x = 54,485,830,084
5. Step 5: Solve for x
   x = 54,485,830,084/146,739
6. Step 6: Final answer
   x = 371,311.17