Finding the Third Proportional to 82,164 and 126,730.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,164 : 126,730.50 = 126,730.50 : x
2. Step 2: Convert to fraction form
   82,164/126,730.50 = 126,730.50/x
3. Step 3: Cross multiply
   82,164x = 126,730.50 × 126,730.50
4. Step 4: Simplify right side
   82,164x = 16,060,619,630.25
5. Step 5: Solve for x
   x = 16,060,619,630.25/82,164
6. Step 6: Final answer
   x = 195,470.27