Finding the Third Proportional to 333,536 and 786,856

Step by Step Solution

1. Step 1: Write the proportion equation
   333,536 : 786,856 = 786,856 : x
2. Step 2: Convert to fraction form
   333,536/786,856 = 786,856/x
3. Step 3: Cross multiply
   333,536x = 786,856 × 786,856
4. Step 4: Simplify right side
   333,536x = 619,142,364,736
5. Step 5: Solve for x
   x = 619,142,364,736/333,536
6. Step 6: Final answer
   x = 1,856,298.46