Finding the Third Proportional to 201,126 and 298,209.75

Step by Step Solution

1. Step 1: Write the proportion equation
   201,126 : 298,209.75 = 298,209.75 : x
2. Step 2: Convert to fraction form
   201,126/298,209.75 = 298,209.75/x
3. Step 3: Cross multiply
   201,126x = 298,209.75 × 298,209.75
4. Step 4: Simplify right side
   201,126x = 88,929,054,995.06
5. Step 5: Solve for x
   x = 88,929,054,995.06/201,126
6. Step 6: Final answer
   x = 442,155.94