Finding the Third Proportional to 355,536 and 777,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   355,536 : 777,586.50 = 777,586.50 : x
2. Step 2: Convert to fraction form
   355,536/777,586.50 = 777,586.50/x
3. Step 3: Cross multiply
   355,536x = 777,586.50 × 777,586.50
4. Step 4: Simplify right side
   355,536x = 604,640,764,982.25
5. Step 5: Solve for x
   x = 604,640,764,982.25/355,536
6. Step 6: Final answer
   x = 1,700,645.69