Finding the Third Proportional to 78,272 and 169,049

Step by Step Solution

1. Step 1: Write the proportion equation
   78,272 : 169,049 = 169,049 : x
2. Step 2: Convert to fraction form
   78,272/169,049 = 169,049/x
3. Step 3: Cross multiply
   78,272x = 169,049 × 169,049
4. Step 4: Simplify right side
   78,272x = 28,577,564,401
5. Step 5: Solve for x
   x = 28,577,564,401/78,272
6. Step 6: Final answer
   x = 365,105.84