Finding the Third Proportional to 72,666 and 156,804

Step by Step Solution

1. Step 1: Write the proportion equation
   72,666 : 156,804 = 156,804 : x
2. Step 2: Convert to fraction form
   72,666/156,804 = 156,804/x
3. Step 3: Cross multiply
   72,666x = 156,804 × 156,804
4. Step 4: Simplify right side
   72,666x = 24,587,494,416
5. Step 5: Solve for x
   x = 24,587,494,416/72,666
6. Step 6: Final answer
   x = 338,363.12