Finding the Third Proportional to 202,459.50 and 314,300.25

Step by Step Solution

1. Step 1: Write the proportion equation
   202,459.50 : 314,300.25 = 314,300.25 : x
2. Step 2: Convert to fraction form
   202,459.50/314,300.25 = 314,300.25/x
3. Step 3: Cross multiply
   202,459.50x = 314,300.25 × 314,300.25
4. Step 4: Simplify right side
   202,459.50x = 98,784,647,150.06
5. Step 5: Solve for x
   x = 98,784,647,150.06/202,459.50
6. Step 6: Final answer
   x = 487,923.00