Finding the Third Proportional to 338,260.50 and 786,591

Step by Step Solution

1. Step 1: Write the proportion equation
   338,260.50 : 786,591 = 786,591 : x
2. Step 2: Convert to fraction form
   338,260.50/786,591 = 786,591/x
3. Step 3: Cross multiply
   338,260.50x = 786,591 × 786,591
4. Step 4: Simplify right side
   338,260.50x = 618,725,401,281
5. Step 5: Solve for x
   x = 618,725,401,281/338,260.50
6. Step 6: Final answer
   x = 1,829,138.79