Finding the Third Proportional to 131,820.50 and 204,284.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,820.50 : 204,284.50 = 204,284.50 : x
2. Step 2: Convert to fraction form
   131,820.50/204,284.50 = 204,284.50/x
3. Step 3: Cross multiply
   131,820.50x = 204,284.50 × 204,284.50
4. Step 4: Simplify right side
   131,820.50x = 41,732,156,940.25
5. Step 5: Solve for x
   x = 41,732,156,940.25/131,820.50
6. Step 6: Final answer
   x = 316,583.21