Finding the Third Proportional to 86,856 and 137,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,856 : 137,644.50 = 137,644.50 : x
2. Step 2: Convert to fraction form
   86,856/137,644.50 = 137,644.50/x
3. Step 3: Cross multiply
   86,856x = 137,644.50 × 137,644.50
4. Step 4: Simplify right side
   86,856x = 18,946,008,380.25
5. Step 5: Solve for x
   x = 18,946,008,380.25/86,856
6. Step 6: Final answer
   x = 218,131.26