Finding the Third Proportional to 90,885 and 186,292.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,885 : 186,292.50 = 186,292.50 : x
2. Step 2: Convert to fraction form
   90,885/186,292.50 = 186,292.50/x
3. Step 3: Cross multiply
   90,885x = 186,292.50 × 186,292.50
4. Step 4: Simplify right side
   90,885x = 34,704,895,556.25
5. Step 5: Solve for x
   x = 34,704,895,556.25/90,885
6. Step 6: Final answer
   x = 381,855.04