Finding the Third Proportional to 131,571 and 204,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,571 : 204,097.50 = 204,097.50 : x
2. Step 2: Convert to fraction form
   131,571/204,097.50 = 204,097.50/x
3. Step 3: Cross multiply
   131,571x = 204,097.50 × 204,097.50
4. Step 4: Simplify right side
   131,571x = 41,655,789,506.25
5. Step 5: Solve for x
   x = 41,655,789,506.25/131,571
6. Step 6: Final answer
   x = 316,603.12