Finding the Third Proportional to 82,202 and 120,710

Step by Step Solution

1. Step 1: Write the proportion equation
   82,202 : 120,710 = 120,710 : x
2. Step 2: Convert to fraction form
   82,202/120,710 = 120,710/x
3. Step 3: Cross multiply
   82,202x = 120,710 × 120,710
4. Step 4: Simplify right side
   82,202x = 14,570,904,100
5. Step 5: Solve for x
   x = 14,570,904,100/82,202
6. Step 6: Final answer
   x = 177,257.29