Finding the Third Proportional to 82,870 and 126,713

Step by Step Solution

1. Step 1: Write the proportion equation
   82,870 : 126,713 = 126,713 : x
2. Step 2: Convert to fraction form
   82,870/126,713 = 126,713/x
3. Step 3: Cross multiply
   82,870x = 126,713 × 126,713
4. Step 4: Simplify right side
   82,870x = 16,056,184,369
5. Step 5: Solve for x
   x = 16,056,184,369/82,870
6. Step 6: Final answer
   x = 193,751.47