Finding the Third Proportional to 86,636 and 137,840

Step by Step Solution

1. Step 1: Write the proportion equation
   86,636 : 137,840 = 137,840 : x
2. Step 2: Convert to fraction form
   86,636/137,840 = 137,840/x
3. Step 3: Cross multiply
   86,636x = 137,840 × 137,840
4. Step 4: Simplify right side
   86,636x = 18,999,865,600
5. Step 5: Solve for x
   x = 18,999,865,600/86,636
6. Step 6: Final answer
   x = 219,306.82