Finding the Third Proportional to 82,768.50 and 128,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,768.50 : 128,392.50 = 128,392.50 : x
2. Step 2: Convert to fraction form
   82,768.50/128,392.50 = 128,392.50/x
3. Step 3: Cross multiply
   82,768.50x = 128,392.50 × 128,392.50
4. Step 4: Simplify right side
   82,768.50x = 16,484,634,056.25
5. Step 5: Solve for x
   x = 16,484,634,056.25/82,768.50
6. Step 6: Final answer
   x = 199,165.55