Finding the Third Proportional to 82,042.50 and 128,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,042.50 : 128,524.50 = 128,524.50 : x
2. Step 2: Convert to fraction form
   82,042.50/128,524.50 = 128,524.50/x
3. Step 3: Cross multiply
   82,042.50x = 128,524.50 × 128,524.50
4. Step 4: Simplify right side
   82,042.50x = 16,518,547,100.25
5. Step 5: Solve for x
   x = 16,518,547,100.25/82,042.50
6. Step 6: Final answer
   x = 201,341.34