Finding the Third Proportional to 55,800 and 78,216

Step by Step Solution

1. Step 1: Write the proportion equation
   55,800 : 78,216 = 78,216 : x
2. Step 2: Convert to fraction form
   55,800/78,216 = 78,216/x
3. Step 3: Cross multiply
   55,800x = 78,216 × 78,216
4. Step 4: Simplify right side
   55,800x = 6,117,742,656
5. Step 5: Solve for x
   x = 6,117,742,656/55,800
6. Step 6: Final answer
   x = 109,636.97