Finding the Third Proportional to 77,536 and 167,456

Step by Step Solution

1. Step 1: Write the proportion equation
   77,536 : 167,456 = 167,456 : x
2. Step 2: Convert to fraction form
   77,536/167,456 = 167,456/x
3. Step 3: Cross multiply
   77,536x = 167,456 × 167,456
4. Step 4: Simplify right side
   77,536x = 28,041,511,936
5. Step 5: Solve for x
   x = 28,041,511,936/77,536
6. Step 6: Final answer
   x = 361,657.96