Finding the Third Proportional to 131,826 and 204,294

Step by Step Solution

1. Step 1: Write the proportion equation
   131,826 : 204,294 = 204,294 : x
2. Step 2: Convert to fraction form
   131,826/204,294 = 204,294/x
3. Step 3: Cross multiply
   131,826x = 204,294 × 204,294
4. Step 4: Simplify right side
   131,826x = 41,736,038,436
5. Step 5: Solve for x
   x = 41,736,038,436/131,826
6. Step 6: Final answer
   x = 316,599.44