Finding the Third Proportional to 83,475 and 127,980

Step by Step Solution

1. Step 1: Write the proportion equation
   83,475 : 127,980 = 127,980 : x
2. Step 2: Convert to fraction form
   83,475/127,980 = 127,980/x
3. Step 3: Cross multiply
   83,475x = 127,980 × 127,980
4. Step 4: Simplify right side
   83,475x = 16,378,880,400
5. Step 5: Solve for x
   x = 16,378,880,400/83,475
6. Step 6: Final answer
   x = 196,213.00