Finding the Third Proportional to 201,135 and 298,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,135 : 298,222.50 = 298,222.50 : x
2. Step 2: Convert to fraction form
   201,135/298,222.50 = 298,222.50/x
3. Step 3: Cross multiply
   201,135x = 298,222.50 × 298,222.50
4. Step 4: Simplify right side
   201,135x = 88,936,659,506.25
5. Step 5: Solve for x
   x = 88,936,659,506.25/201,135
6. Step 6: Final answer
   x = 442,173.96