Finding the Third Proportional to 72,270 and 109,797

Step by Step Solution

1. Step 1: Write the proportion equation
   72,270 : 109,797 = 109,797 : x
2. Step 2: Convert to fraction form
   72,270/109,797 = 109,797/x
3. Step 3: Cross multiply
   72,270x = 109,797 × 109,797
4. Step 4: Simplify right side
   72,270x = 12,055,381,209
5. Step 5: Solve for x
   x = 12,055,381,209/72,270
6. Step 6: Final answer
   x = 166,810.31