Finding the Third Proportional to 82,152 and 126,711

Step by Step Solution

1. Step 1: Write the proportion equation
   82,152 : 126,711 = 126,711 : x
2. Step 2: Convert to fraction form
   82,152/126,711 = 126,711/x
3. Step 3: Cross multiply
   82,152x = 126,711 × 126,711
4. Step 4: Simplify right side
   82,152x = 16,055,677,521
5. Step 5: Solve for x
   x = 16,055,677,521/82,152
6. Step 6: Final answer
   x = 195,438.67