Finding the Third Proportional to 55,857 and 78,132

Step by Step Solution

1. Step 1: Write the proportion equation
   55,857 : 78,132 = 78,132 : x
2. Step 2: Convert to fraction form
   55,857/78,132 = 78,132/x
3. Step 3: Cross multiply
   55,857x = 78,132 × 78,132
4. Step 4: Simplify right side
   55,857x = 6,104,609,424
5. Step 5: Solve for x
   x = 6,104,609,424/55,857
6. Step 6: Final answer
   x = 109,289.96