Finding the Third Proportional to 86,403 and 137,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,403 : 137,380.50 = 137,380.50 : x
2. Step 2: Convert to fraction form
   86,403/137,380.50 = 137,380.50/x
3. Step 3: Cross multiply
   86,403x = 137,380.50 × 137,380.50
4. Step 4: Simplify right side
   86,403x = 18,873,401,780.25
5. Step 5: Solve for x
   x = 18,873,401,780.25/86,403
6. Step 6: Final answer
   x = 218,434.57