Finding the Third Proportional to 82,065 and 128,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,065 : 128,569.50 = 128,569.50 : x
2. Step 2: Convert to fraction form
   82,065/128,569.50 = 128,569.50/x
3. Step 3: Cross multiply
   82,065x = 128,569.50 × 128,569.50
4. Step 4: Simplify right side
   82,065x = 16,530,116,330.25
5. Step 5: Solve for x
   x = 16,530,116,330.25/82,065
6. Step 6: Final answer
   x = 201,427.12