Finding the Third Proportional to 83,140 and 177,976

Step by Step Solution

1. Step 1: Write the proportion equation
   83,140 : 177,976 = 177,976 : x
2. Step 2: Convert to fraction form
   83,140/177,976 = 177,976/x
3. Step 3: Cross multiply
   83,140x = 177,976 × 177,976
4. Step 4: Simplify right side
   83,140x = 31,675,456,576
5. Step 5: Solve for x
   x = 31,675,456,576/83,140
6. Step 6: Final answer
   x = 380,989.37