Finding the Third Proportional to 338,780 and 736,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,780 : 736,609.50 = 736,609.50 : x
2. Step 2: Convert to fraction form
   338,780/736,609.50 = 736,609.50/x
3. Step 3: Cross multiply
   338,780x = 736,609.50 × 736,609.50
4. Step 4: Simplify right side
   338,780x = 542,593,555,490.25
5. Step 5: Solve for x
   x = 542,593,555,490.25/338,780
6. Step 6: Final answer
   x = 1,601,610.35