Finding the Third Proportional to 82,383 and 131,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,383 : 131,403.50 = 131,403.50 : x
2. Step 2: Convert to fraction form
   82,383/131,403.50 = 131,403.50/x
3. Step 3: Cross multiply
   82,383x = 131,403.50 × 131,403.50
4. Step 4: Simplify right side
   82,383x = 17,266,879,812.25
5. Step 5: Solve for x
   x = 17,266,879,812.25/82,383
6. Step 6: Final answer
   x = 209,592.75