Finding the Third Proportional to 87,624 and 185,595

Step by Step Solution

1. Step 1: Write the proportion equation
   87,624 : 185,595 = 185,595 : x
2. Step 2: Convert to fraction form
   87,624/185,595 = 185,595/x
3. Step 3: Cross multiply
   87,624x = 185,595 × 185,595
4. Step 4: Simplify right side
   87,624x = 34,445,504,025
5. Step 5: Solve for x
   x = 34,445,504,025/87,624
6. Step 6: Final answer
   x = 393,105.82