Finding the Third Proportional to 55,456 and 78,108

Step by Step Solution

1. Step 1: Write the proportion equation
   55,456 : 78,108 = 78,108 : x
2. Step 2: Convert to fraction form
   55,456/78,108 = 78,108/x
3. Step 3: Cross multiply
   55,456x = 78,108 × 78,108
4. Step 4: Simplify right side
   55,456x = 6,100,859,664
5. Step 5: Solve for x
   x = 6,100,859,664/55,456
6. Step 6: Final answer
   x = 110,012.62