Finding the Third Proportional to 201,852 and 298,869.75

Step by Step Solution

1. Step 1: Write the proportion equation
   201,852 : 298,869.75 = 298,869.75 : x
2. Step 2: Convert to fraction form
   201,852/298,869.75 = 298,869.75/x
3. Step 3: Cross multiply
   201,852x = 298,869.75 × 298,869.75
4. Step 4: Simplify right side
   201,852x = 89,323,127,465.06
5. Step 5: Solve for x
   x = 89,323,127,465.06/201,852
6. Step 6: Final answer
   x = 442,517.92