Finding the Third Proportional to 203,757.50 and 314,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   203,757.50 : 314,870.50 = 314,870.50 : x
2. Step 2: Convert to fraction form
   203,757.50/314,870.50 = 314,870.50/x
3. Step 3: Cross multiply
   203,757.50x = 314,870.50 × 314,870.50
4. Step 4: Simplify right side
   203,757.50x = 99,143,431,770.25
5. Step 5: Solve for x
   x = 99,143,431,770.25/203,757.50
6. Step 6: Final answer
   x = 486,575.62