Finding the Third Proportional to 81,727.50 and 127,074

Step by Step Solution

1. Step 1: Write the proportion equation
   81,727.50 : 127,074 = 127,074 : x
2. Step 2: Convert to fraction form
   81,727.50/127,074 = 127,074/x
3. Step 3: Cross multiply
   81,727.50x = 127,074 × 127,074
4. Step 4: Simplify right side
   81,727.50x = 16,147,801,476
5. Step 5: Solve for x
   x = 16,147,801,476/81,727.50
6. Step 6: Final answer
   x = 197,581.00