Finding the Third Proportional to 55,487 and 85,823

Step by Step Solution

1. Step 1: Write the proportion equation
   55,487 : 85,823 = 85,823 : x
2. Step 2: Convert to fraction form
   55,487/85,823 = 85,823/x
3. Step 3: Cross multiply
   55,487x = 85,823 × 85,823
4. Step 4: Simplify right side
   55,487x = 7,365,587,329
5. Step 5: Solve for x
   x = 7,365,587,329/55,487
6. Step 6: Final answer
   x = 132,744.38