Finding the Third Proportional to 146,860 and 233,412

Step by Step Solution

1. Step 1: Write the proportion equation
   146,860 : 233,412 = 233,412 : x
2. Step 2: Convert to fraction form
   146,860/233,412 = 233,412/x
3. Step 3: Cross multiply
   146,860x = 233,412 × 233,412
4. Step 4: Simplify right side
   146,860x = 54,481,161,744
5. Step 5: Solve for x
   x = 54,481,161,744/146,860
6. Step 6: Final answer
   x = 370,973.46