Finding the Third Proportional to 86,608 and 137,310

Step by Step Solution

1. Step 1: Write the proportion equation
   86,608 : 137,310 = 137,310 : x
2. Step 2: Convert to fraction form
   86,608/137,310 = 137,310/x
3. Step 3: Cross multiply
   86,608x = 137,310 × 137,310
4. Step 4: Simplify right side
   86,608x = 18,854,036,100
5. Step 5: Solve for x
   x = 18,854,036,100/86,608
6. Step 6: Final answer
   x = 217,693.93