Finding the Third Proportional to 86,615.50 and 189,782

Step by Step Solution

1. Step 1: Write the proportion equation
   86,615.50 : 189,782 = 189,782 : x
2. Step 2: Convert to fraction form
   86,615.50/189,782 = 189,782/x
3. Step 3: Cross multiply
   86,615.50x = 189,782 × 189,782
4. Step 4: Simplify right side
   86,615.50x = 36,017,207,524
5. Step 5: Solve for x
   x = 36,017,207,524/86,615.50
6. Step 6: Final answer
   x = 415,828.66