Finding the Third Proportional to 54,172 and 86,506

Step by Step Solution

1. Step 1: Write the proportion equation
   54,172 : 86,506 = 86,506 : x
2. Step 2: Convert to fraction form
   54,172/86,506 = 86,506/x
3. Step 3: Cross multiply
   54,172x = 86,506 × 86,506
4. Step 4: Simplify right side
   54,172x = 7,483,288,036
5. Step 5: Solve for x
   x = 7,483,288,036/54,172
6. Step 6: Final answer
   x = 138,139.41