Finding the Third Proportional to 83,564 and 127,994

Step by Step Solution

1. Step 1: Write the proportion equation
   83,564 : 127,994 = 127,994 : x
2. Step 2: Convert to fraction form
   83,564/127,994 = 127,994/x
3. Step 3: Cross multiply
   83,564x = 127,994 × 127,994
4. Step 4: Simplify right side
   83,564x = 16,382,464,036
5. Step 5: Solve for x
   x = 16,382,464,036/83,564
6. Step 6: Final answer
   x = 196,046.91