Finding the Third Proportional to 156,208 and 340,684

Step by Step Solution

1. Step 1: Write the proportion equation
   156,208 : 340,684 = 340,684 : x
2. Step 2: Convert to fraction form
   156,208/340,684 = 340,684/x
3. Step 3: Cross multiply
   156,208x = 340,684 × 340,684
4. Step 4: Simplify right side
   156,208x = 116,065,587,856
5. Step 5: Solve for x
   x = 116,065,587,856/156,208
6. Step 6: Final answer
   x = 743,019.49