Finding the Third Proportional to 35,880 and 78,456

Step by Step Solution

1. Step 1: Write the proportion equation
   35,880 : 78,456 = 78,456 : x
2. Step 2: Convert to fraction form
   35,880/78,456 = 78,456/x
3. Step 3: Cross multiply
   35,880x = 78,456 × 78,456
4. Step 4: Simplify right side
   35,880x = 6,155,343,936
5. Step 5: Solve for x
   x = 6,155,343,936/35,880
6. Step 6: Final answer
   x = 171,553.62