Finding the Third Proportional to 82,742.50 and 127,858

Step by Step Solution

1. Step 1: Write the proportion equation
   82,742.50 : 127,858 = 127,858 : x
2. Step 2: Convert to fraction form
   82,742.50/127,858 = 127,858/x
3. Step 3: Cross multiply
   82,742.50x = 127,858 × 127,858
4. Step 4: Simplify right side
   82,742.50x = 16,347,668,164
5. Step 5: Solve for x
   x = 16,347,668,164/82,742.50
6. Step 6: Final answer
   x = 197,572.81