Finding the Third Proportional to 357,536 and 786,150

Step by Step Solution

1. Step 1: Write the proportion equation
   357,536 : 786,150 = 786,150 : x
2. Step 2: Convert to fraction form
   357,536/786,150 = 786,150/x
3. Step 3: Cross multiply
   357,536x = 786,150 × 786,150
4. Step 4: Simplify right side
   357,536x = 618,031,822,500
5. Step 5: Solve for x
   x = 618,031,822,500/357,536
6. Step 6: Final answer
   x = 1,728,586.28