Finding the Third Proportional to 338,025 and 505,984.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,025 : 505,984.50 = 505,984.50 : x
2. Step 2: Convert to fraction form
   338,025/505,984.50 = 505,984.50/x
3. Step 3: Cross multiply
   338,025x = 505,984.50 × 505,984.50
4. Step 4: Simplify right side
   338,025x = 256,020,314,240.25
5. Step 5: Solve for x
   x = 256,020,314,240.25/338,025
6. Step 6: Final answer
   x = 757,400.53