Finding the Third Proportional to 86,865 and 137,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,865 : 137,656.50 = 137,656.50 : x
2. Step 2: Convert to fraction form
   86,865/137,656.50 = 137,656.50/x
3. Step 3: Cross multiply
   86,865x = 137,656.50 × 137,656.50
4. Step 4: Simplify right side
   86,865x = 18,949,311,992.25
5. Step 5: Solve for x
   x = 18,949,311,992.25/86,865
6. Step 6: Final answer
   x = 218,146.69