Finding the Third Proportional to 72,326 and 156,676

Step by Step Solution

1. Step 1: Write the proportion equation
   72,326 : 156,676 = 156,676 : x
2. Step 2: Convert to fraction form
   72,326/156,676 = 156,676/x
3. Step 3: Cross multiply
   72,326x = 156,676 × 156,676
4. Step 4: Simplify right side
   72,326x = 24,547,368,976
5. Step 5: Solve for x
   x = 24,547,368,976/72,326
6. Step 6: Final answer
   x = 339,398.96