Finding the Third Proportional to 77,636 and 168,456

Step by Step Solution

1. Step 1: Write the proportion equation
   77,636 : 168,456 = 168,456 : x
2. Step 2: Convert to fraction form
   77,636/168,456 = 168,456/x
3. Step 3: Cross multiply
   77,636x = 168,456 × 168,456
4. Step 4: Simplify right side
   77,636x = 28,377,423,936
5. Step 5: Solve for x
   x = 28,377,423,936/77,636
6. Step 6: Final answer
   x = 365,518.88