Finding the Third Proportional to 83,883 and 127,046.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,883 : 127,046.25 = 127,046.25 : x
2. Step 2: Convert to fraction form
   83,883/127,046.25 = 127,046.25/x
3. Step 3: Cross multiply
   83,883x = 127,046.25 × 127,046.25
4. Step 4: Simplify right side
   83,883x = 16,140,749,639.06
5. Step 5: Solve for x
   x = 16,140,749,639.06/83,883
6. Step 6: Final answer
   x = 192,419.79