Finding the Third Proportional to 146,996 and 233,066

Step by Step Solution

1. Step 1: Write the proportion equation
   146,996 : 233,066 = 233,066 : x
2. Step 2: Convert to fraction form
   146,996/233,066 = 233,066/x
3. Step 3: Cross multiply
   146,996x = 233,066 × 233,066
4. Step 4: Simplify right side
   146,996x = 54,319,760,356
5. Step 5: Solve for x
   x = 54,319,760,356/146,996
6. Step 6: Final answer
   x = 369,532.23