Finding the Third Proportional to 338,028 and 505,988.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,028 : 505,988.50 = 505,988.50 : x
2. Step 2: Convert to fraction form
   338,028/505,988.50 = 505,988.50/x
3. Step 3: Cross multiply
   338,028x = 505,988.50 × 505,988.50
4. Step 4: Simplify right side
   338,028x = 256,024,362,132.25
5. Step 5: Solve for x
   x = 256,024,362,132.25/338,028
6. Step 6: Final answer
   x = 757,405.78