Finding the Third Proportional to 83,665 and 127,458

Step by Step Solution

1. Step 1: Write the proportion equation
   83,665 : 127,458 = 127,458 : x
2. Step 2: Convert to fraction form
   83,665/127,458 = 127,458/x
3. Step 3: Cross multiply
   83,665x = 127,458 × 127,458
4. Step 4: Simplify right side
   83,665x = 16,245,541,764
5. Step 5: Solve for x
   x = 16,245,541,764/83,665
6. Step 6: Final answer
   x = 194,173.69