Finding the Third Proportional to 201,199.50 and 301,823.25

Step by Step Solution

1. Step 1: Write the proportion equation
   201,199.50 : 301,823.25 = 301,823.25 : x
2. Step 2: Convert to fraction form
   201,199.50/301,823.25 = 301,823.25/x
3. Step 3: Cross multiply
   201,199.50x = 301,823.25 × 301,823.25
4. Step 4: Simplify right side
   201,199.50x = 91,097,274,240.56
5. Step 5: Solve for x
   x = 91,097,274,240.56/201,199.50
6. Step 6: Final answer
   x = 452,770.88