Finding the Third Proportional to 83,754 and 127,926

Step by Step Solution

1. Step 1: Write the proportion equation
   83,754 : 127,926 = 127,926 : x
2. Step 2: Convert to fraction form
   83,754/127,926 = 127,926/x
3. Step 3: Cross multiply
   83,754x = 127,926 × 127,926
4. Step 4: Simplify right side
   83,754x = 16,365,061,476
5. Step 5: Solve for x
   x = 16,365,061,476/83,754
6. Step 6: Final answer
   x = 195,394.39