Finding the Third Proportional to 86,589 and 137,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,589 : 137,902.50 = 137,902.50 : x
2. Step 2: Convert to fraction form
   86,589/137,902.50 = 137,902.50/x
3. Step 3: Cross multiply
   86,589x = 137,902.50 × 137,902.50
4. Step 4: Simplify right side
   86,589x = 19,017,099,506.25
5. Step 5: Solve for x
   x = 19,017,099,506.25/86,589
6. Step 6: Final answer
   x = 219,624.89