Finding the Third Proportional to 159,633 and 238,066

Step by Step Solution

1. Step 1: Write the proportion equation
   159,633 : 238,066 = 238,066 : x
2. Step 2: Convert to fraction form
   159,633/238,066 = 238,066/x
3. Step 3: Cross multiply
   159,633x = 238,066 × 238,066
4. Step 4: Simplify right side
   159,633x = 56,675,420,356
5. Step 5: Solve for x
   x = 56,675,420,356/159,633
6. Step 6: Final answer
   x = 355,035.74