Finding the Third Proportional to 223,138 and 339,941.50

Step by Step Solution

1. Step 1: Write the proportion equation
   223,138 : 339,941.50 = 339,941.50 : x
2. Step 2: Convert to fraction form
   223,138/339,941.50 = 339,941.50/x
3. Step 3: Cross multiply
   223,138x = 339,941.50 × 339,941.50
4. Step 4: Simplify right side
   223,138x = 115,560,223,422.25
5. Step 5: Solve for x
   x = 115,560,223,422.25/223,138
6. Step 6: Final answer
   x = 517,886.79