Finding the Third Proportional to 72,019 and 109,023

Step by Step Solution

1. Step 1: Write the proportion equation
   72,019 : 109,023 = 109,023 : x
2. Step 2: Convert to fraction form
   72,019/109,023 = 109,023/x
3. Step 3: Cross multiply
   72,019x = 109,023 × 109,023
4. Step 4: Simplify right side
   72,019x = 11,886,014,529
5. Step 5: Solve for x
   x = 11,886,014,529/72,019
6. Step 6: Final answer
   x = 165,039.98