Finding the Third Proportional to 201,201 and 301,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,201 : 301,825.50 = 301,825.50 : x
2. Step 2: Convert to fraction form
   201,201/301,825.50 = 301,825.50/x
3. Step 3: Cross multiply
   201,201x = 301,825.50 × 301,825.50
4. Step 4: Simplify right side
   201,201x = 91,098,632,450.25
5. Step 5: Solve for x
   x = 91,098,632,450.25/201,201
6. Step 6: Final answer
   x = 452,774.25