Finding the Third Proportional to 72,579 and 109,965

Step by Step Solution

1. Step 1: Write the proportion equation
   72,579 : 109,965 = 109,965 : x
2. Step 2: Convert to fraction form
   72,579/109,965 = 109,965/x
3. Step 3: Cross multiply
   72,579x = 109,965 × 109,965
4. Step 4: Simplify right side
   72,579x = 12,092,301,225
5. Step 5: Solve for x
   x = 12,092,301,225/72,579
6. Step 6: Final answer
   x = 166,608.82