Finding the Third Proportional to 201,131.75 and 298,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,131.75 : 298,216.50 = 298,216.50 : x
2. Step 2: Convert to fraction form
   201,131.75/298,216.50 = 298,216.50/x
3. Step 3: Cross multiply
   201,131.75x = 298,216.50 × 298,216.50
4. Step 4: Simplify right side
   201,131.75x = 88,933,080,872.25
5. Step 5: Solve for x
   x = 88,933,080,872.25/201,131.75
6. Step 6: Final answer
   x = 442,163.31