Finding the Third Proportional to 83,065 and 177,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,065 : 177,003.50 = 177,003.50 : x
2. Step 2: Convert to fraction form
   83,065/177,003.50 = 177,003.50/x
3. Step 3: Cross multiply
   83,065x = 177,003.50 × 177,003.50
4. Step 4: Simplify right side
   83,065x = 31,330,239,012.25
5. Step 5: Solve for x
   x = 31,330,239,012.25/83,065
6. Step 6: Final answer
   x = 377,177.38