Finding the Third Proportional to 77,894 and 169,456

Step by Step Solution

1. Step 1: Write the proportion equation
   77,894 : 169,456 = 169,456 : x
2. Step 2: Convert to fraction form
   77,894/169,456 = 169,456/x
3. Step 3: Cross multiply
   77,894x = 169,456 × 169,456
4. Step 4: Simplify right side
   77,894x = 28,715,335,936
5. Step 5: Solve for x
   x = 28,715,335,936/77,894
6. Step 6: Final answer
   x = 368,646.31