Finding the Third Proportional to 72,983 and 109,799

Step by Step Solution

1. Step 1: Write the proportion equation
   72,983 : 109,799 = 109,799 : x
2. Step 2: Convert to fraction form
   72,983/109,799 = 109,799/x
3. Step 3: Cross multiply
   72,983x = 109,799 × 109,799
4. Step 4: Simplify right side
   72,983x = 12,055,820,401
5. Step 5: Solve for x
   x = 12,055,820,401/72,983
6. Step 6: Final answer
   x = 165,186.69