Finding the Third Proportional to 77,462 and 169,665

Step by Step Solution

1. Step 1: Write the proportion equation
   77,462 : 169,665 = 169,665 : x
2. Step 2: Convert to fraction form
   77,462/169,665 = 169,665/x
3. Step 3: Cross multiply
   77,462x = 169,665 × 169,665
4. Step 4: Simplify right side
   77,462x = 28,786,212,225
5. Step 5: Solve for x
   x = 28,786,212,225/77,462
6. Step 6: Final answer
   x = 371,617.21