Finding the Third Proportional to 83,067.50 and 177,009

Step by Step Solution

1. Step 1: Write the proportion equation
   83,067.50 : 177,009 = 177,009 : x
2. Step 2: Convert to fraction form
   83,067.50/177,009 = 177,009/x
3. Step 3: Cross multiply
   83,067.50x = 177,009 × 177,009
4. Step 4: Simplify right side
   83,067.50x = 31,332,186,081
5. Step 5: Solve for x
   x = 31,332,186,081/83,067.50
6. Step 6: Final answer
   x = 377,189.47