Finding the Third Proportional to 55,626 and 86,139

Step by Step Solution

1. Step 1: Write the proportion equation
   55,626 : 86,139 = 86,139 : x
2. Step 2: Convert to fraction form
   55,626/86,139 = 86,139/x
3. Step 3: Cross multiply
   55,626x = 86,139 × 86,139
4. Step 4: Simplify right side
   55,626x = 7,419,927,321
5. Step 5: Solve for x
   x = 7,419,927,321/55,626
6. Step 6: Final answer
   x = 133,389.55