Finding the Third Proportional to 83,286 and 127,002

Step by Step Solution

1. Step 1: Write the proportion equation
   83,286 : 127,002 = 127,002 : x
2. Step 2: Convert to fraction form
   83,286/127,002 = 127,002/x
3. Step 3: Cross multiply
   83,286x = 127,002 × 127,002
4. Step 4: Simplify right side
   83,286x = 16,129,508,004
5. Step 5: Solve for x
   x = 16,129,508,004/83,286
6. Step 6: Final answer
   x = 193,664.10