Finding the Third Proportional to 82,601 and 131,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,601 : 131,282.50 = 131,282.50 : x
2. Step 2: Convert to fraction form
   82,601/131,282.50 = 131,282.50/x
3. Step 3: Cross multiply
   82,601x = 131,282.50 × 131,282.50
4. Step 4: Simplify right side
   82,601x = 17,235,094,806.25
5. Step 5: Solve for x
   x = 17,235,094,806.25/82,601
6. Step 6: Final answer
   x = 208,654.80