Finding the Third Proportional to 201,027 and 311,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,027 : 311,476.50 = 311,476.50 : x
2. Step 2: Convert to fraction form
   201,027/311,476.50 = 311,476.50/x
3. Step 3: Cross multiply
   201,027x = 311,476.50 × 311,476.50
4. Step 4: Simplify right side
   201,027x = 97,017,610,052.25
5. Step 5: Solve for x
   x = 97,017,610,052.25/201,027
6. Step 6: Final answer
   x = 482,609.85