Finding the Third Proportional to 131,498 and 287,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,498 : 287,599.50 = 287,599.50 : x
2. Step 2: Convert to fraction form
   131,498/287,599.50 = 287,599.50/x
3. Step 3: Cross multiply
   131,498x = 287,599.50 × 287,599.50
4. Step 4: Simplify right side
   131,498x = 82,713,472,400.25
5. Step 5: Solve for x
   x = 82,713,472,400.25/131,498
6. Step 6: Final answer
   x = 629,009.36