Finding the Third Proportional to 86,809.50 and 189,378

Step by Step Solution

1. Step 1: Write the proportion equation
   86,809.50 : 189,378 = 189,378 : x
2. Step 2: Convert to fraction form
   86,809.50/189,378 = 189,378/x
3. Step 3: Cross multiply
   86,809.50x = 189,378 × 189,378
4. Step 4: Simplify right side
   86,809.50x = 35,864,026,884
5. Step 5: Solve for x
   x = 35,864,026,884/86,809.50
6. Step 6: Final answer
   x = 413,134.82