Finding the Third Proportional to 72,769 and 156,170

Step by Step Solution

1. Step 1: Write the proportion equation
   72,769 : 156,170 = 156,170 : x
2. Step 2: Convert to fraction form
   72,769/156,170 = 156,170/x
3. Step 3: Cross multiply
   72,769x = 156,170 × 156,170
4. Step 4: Simplify right side
   72,769x = 24,389,068,900
5. Step 5: Solve for x
   x = 24,389,068,900/72,769
6. Step 6: Final answer
   x = 335,157.40