Finding the Third Proportional to 82,548 and 128,145

Step by Step Solution

1. Step 1: Write the proportion equation
   82,548 : 128,145 = 128,145 : x
2. Step 2: Convert to fraction form
   82,548/128,145 = 128,145/x
3. Step 3: Cross multiply
   82,548x = 128,145 × 128,145
4. Step 4: Simplify right side
   82,548x = 16,421,141,025
5. Step 5: Solve for x
   x = 16,421,141,025/82,548
6. Step 6: Final answer
   x = 198,928.39