Finding the Third Proportional to 339,103.50 and 460,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   339,103.50 : 460,543.50 = 460,543.50 : x
2. Step 2: Convert to fraction form
   339,103.50/460,543.50 = 460,543.50/x
3. Step 3: Cross multiply
   339,103.50x = 460,543.50 × 460,543.50
4. Step 4: Simplify right side
   339,103.50x = 212,100,315,392.25
5. Step 5: Solve for x
   x = 212,100,315,392.25/339,103.50
6. Step 6: Final answer
   x = 625,473.68