Finding the Third Proportional to 83,637 and 127,674

Step by Step Solution

1. Step 1: Write the proportion equation
   83,637 : 127,674 = 127,674 : x
2. Step 2: Convert to fraction form
   83,637/127,674 = 127,674/x
3. Step 3: Cross multiply
   83,637x = 127,674 × 127,674
4. Step 4: Simplify right side
   83,637x = 16,300,650,276
5. Step 5: Solve for x
   x = 16,300,650,276/83,637
6. Step 6: Final answer
   x = 194,897.60