Finding the Third Proportional to 156,764 and 340,906

Step by Step Solution

1. Step 1: Write the proportion equation
   156,764 : 340,906 = 340,906 : x
2. Step 2: Convert to fraction form
   156,764/340,906 = 340,906/x
3. Step 3: Cross multiply
   156,764x = 340,906 × 340,906
4. Step 4: Simplify right side
   156,764x = 116,216,900,836
5. Step 5: Solve for x
   x = 116,216,900,836/156,764
6. Step 6: Final answer
   x = 741,349.42