Finding the Third Proportional to 201,825 and 274,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,825 : 274,225.50 = 274,225.50 : x
2. Step 2: Convert to fraction form
   201,825/274,225.50 = 274,225.50/x
3. Step 3: Cross multiply
   201,825x = 274,225.50 × 274,225.50
4. Step 4: Simplify right side
   201,825x = 75,199,624,850.25
5. Step 5: Solve for x
   x = 75,199,624,850.25/201,825
6. Step 6: Final answer
   x = 372,598.17