Finding the Third Proportional to 55,216 and 85,656

Step by Step Solution

1. Step 1: Write the proportion equation
   55,216 : 85,656 = 85,656 : x
2. Step 2: Convert to fraction form
   55,216/85,656 = 85,656/x
3. Step 3: Cross multiply
   55,216x = 85,656 × 85,656
4. Step 4: Simplify right side
   55,216x = 7,336,950,336
5. Step 5: Solve for x
   x = 7,336,950,336/55,216
6. Step 6: Final answer
   x = 132,877.25