Finding the Third Proportional to 82,770 and 128,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,770 : 128,395.50 = 128,395.50 : x
2. Step 2: Convert to fraction form
   82,770/128,395.50 = 128,395.50/x
3. Step 3: Cross multiply
   82,770x = 128,395.50 × 128,395.50
4. Step 4: Simplify right side
   82,770x = 16,485,404,420.25
5. Step 5: Solve for x
   x = 16,485,404,420.25/82,770
6. Step 6: Final answer
   x = 199,171.25