Finding the Third Proportional to 85,834.50 and 186,447

Step by Step Solution

1. Step 1: Write the proportion equation
   85,834.50 : 186,447 = 186,447 : x
2. Step 2: Convert to fraction form
   85,834.50/186,447 = 186,447/x
3. Step 3: Cross multiply
   85,834.50x = 186,447 × 186,447
4. Step 4: Simplify right side
   85,834.50x = 34,762,483,809
5. Step 5: Solve for x
   x = 34,762,483,809/85,834.50
6. Step 6: Final answer
   x = 404,994.31