Finding the Third Proportional to 82,520 and 128,710

Step by Step Solution

1. Step 1: Write the proportion equation
   82,520 : 128,710 = 128,710 : x
2. Step 2: Convert to fraction form
   82,520/128,710 = 128,710/x
3. Step 3: Cross multiply
   82,520x = 128,710 × 128,710
4. Step 4: Simplify right side
   82,520x = 16,566,264,100
5. Step 5: Solve for x
   x = 16,566,264,100/82,520
6. Step 6: Final answer
   x = 200,754.53