Finding the Third Proportional to 86,009.50 and 188,624

Step by Step Solution

1. Step 1: Write the proportion equation
   86,009.50 : 188,624 = 188,624 : x
2. Step 2: Convert to fraction form
   86,009.50/188,624 = 188,624/x
3. Step 3: Cross multiply
   86,009.50x = 188,624 × 188,624
4. Step 4: Simplify right side
   86,009.50x = 35,579,013,376
5. Step 5: Solve for x
   x = 35,579,013,376/86,009.50
6. Step 6: Final answer
   x = 413,663.76