Finding the Third Proportional to 72,654 and 155,676

Step by Step Solution

1. Step 1: Write the proportion equation
   72,654 : 155,676 = 155,676 : x
2. Step 2: Convert to fraction form
   72,654/155,676 = 155,676/x
3. Step 3: Cross multiply
   72,654x = 155,676 × 155,676
4. Step 4: Simplify right side
   72,654x = 24,235,016,976
5. Step 5: Solve for x
   x = 24,235,016,976/72,654
6. Step 6: Final answer
   x = 333,567.55