Finding the Third Proportional to 83,067 and 177,008

Step by Step Solution

1. Step 1: Write the proportion equation
   83,067 : 177,008 = 177,008 : x
2. Step 2: Convert to fraction form
   83,067/177,008 = 177,008/x
3. Step 3: Cross multiply
   83,067x = 177,008 × 177,008
4. Step 4: Simplify right side
   83,067x = 31,331,832,064
5. Step 5: Solve for x
   x = 31,331,832,064/83,067
6. Step 6: Final answer
   x = 377,187.48