Finding the Third Proportional to 335,380.50 and 507,404.25

Step by Step Solution

1. Step 1: Write the proportion equation
   335,380.50 : 507,404.25 = 507,404.25 : x
2. Step 2: Convert to fraction form
   335,380.50/507,404.25 = 507,404.25/x
3. Step 3: Cross multiply
   335,380.50x = 507,404.25 × 507,404.25
4. Step 4: Simplify right side
   335,380.50x = 257,459,072,918.06
5. Step 5: Solve for x
   x = 257,459,072,918.06/335,380.50
6. Step 6: Final answer
   x = 767,662.62