Finding the Third Proportional to 83,456 and 127,244

Step by Step Solution

1. Step 1: Write the proportion equation
   83,456 : 127,244 = 127,244 : x
2. Step 2: Convert to fraction form
   83,456/127,244 = 127,244/x
3. Step 3: Cross multiply
   83,456x = 127,244 × 127,244
4. Step 4: Simplify right side
   83,456x = 16,191,035,536
5. Step 5: Solve for x
   x = 16,191,035,536/83,456
6. Step 6: Final answer
   x = 194,006.85