Finding the Third Proportional to 72,802 and 156,764

Step by Step Solution

1. Step 1: Write the proportion equation
   72,802 : 156,764 = 156,764 : x
2. Step 2: Convert to fraction form
   72,802/156,764 = 156,764/x
3. Step 3: Cross multiply
   72,802x = 156,764 × 156,764
4. Step 4: Simplify right side
   72,802x = 24,574,951,696
5. Step 5: Solve for x
   x = 24,574,951,696/72,802
6. Step 6: Final answer
   x = 337,558.74