Finding the Third Proportional to 72,767 and 156,166

Step by Step Solution

1. Step 1: Write the proportion equation
   72,767 : 156,166 = 156,166 : x
2. Step 2: Convert to fraction form
   72,767/156,166 = 156,166/x
3. Step 3: Cross multiply
   72,767x = 156,166 × 156,166
4. Step 4: Simplify right side
   72,767x = 24,387,819,556
5. Step 5: Solve for x
   x = 24,387,819,556/72,767
6. Step 6: Final answer
   x = 335,149.44