Finding the Third Proportional to 82,033 and 128,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,033 : 128,516.50 = 128,516.50 : x
2. Step 2: Convert to fraction form
   82,033/128,516.50 = 128,516.50/x
3. Step 3: Cross multiply
   82,033x = 128,516.50 × 128,516.50
4. Step 4: Simplify right side
   82,033x = 16,516,490,772.25
5. Step 5: Solve for x
   x = 16,516,490,772.25/82,033
6. Step 6: Final answer
   x = 201,339.59