Finding the Third Proportional to 72,770 and 159,066

Step by Step Solution

1. Step 1: Write the proportion equation
   72,770 : 159,066 = 159,066 : x
2. Step 2: Convert to fraction form
   72,770/159,066 = 159,066/x
3. Step 3: Cross multiply
   72,770x = 159,066 × 159,066
4. Step 4: Simplify right side
   72,770x = 25,301,992,356
5. Step 5: Solve for x
   x = 25,301,992,356/72,770
6. Step 6: Final answer
   x = 347,698.12