Finding the Third Proportional to 201,186 and 298,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,186 : 298,300.50 = 298,300.50 : x
2. Step 2: Convert to fraction form
   201,186/298,300.50 = 298,300.50/x
3. Step 3: Cross multiply
   201,186x = 298,300.50 × 298,300.50
4. Step 4: Simplify right side
   201,186x = 88,983,188,300.25
5. Step 5: Solve for x
   x = 88,983,188,300.25/201,186
6. Step 6: Final answer
   x = 442,293.14