Finding the Third Proportional to 36,636 and 78,456

Step by Step Solution

1. Step 1: Write the proportion equation
   36,636 : 78,456 = 78,456 : x
2. Step 2: Convert to fraction form
   36,636/78,456 = 78,456/x
3. Step 3: Cross multiply
   36,636x = 78,456 × 78,456
4. Step 4: Simplify right side
   36,636x = 6,155,343,936
5. Step 5: Solve for x
   x = 6,155,343,936/36,636
6. Step 6: Final answer
   x = 168,013.54