Finding the Third Proportional to 55,296 and 85,392

Step by Step Solution

1. Step 1: Write the proportion equation
   55,296 : 85,392 = 85,392 : x
2. Step 2: Convert to fraction form
   55,296/85,392 = 85,392/x
3. Step 3: Cross multiply
   55,296x = 85,392 × 85,392
4. Step 4: Simplify right side
   55,296x = 7,291,793,664
5. Step 5: Solve for x
   x = 7,291,793,664/55,296
6. Step 6: Final answer
   x = 131,868.38