Finding the Third Proportional to 80,724 and 187,590

Step by Step Solution

1. Step 1: Write the proportion equation
   80,724 : 187,590 = 187,590 : x
2. Step 2: Convert to fraction form
   80,724/187,590 = 187,590/x
3. Step 3: Cross multiply
   80,724x = 187,590 × 187,590
4. Step 4: Simplify right side
   80,724x = 35,190,008,100
5. Step 5: Solve for x
   x = 35,190,008,100/80,724
6. Step 6: Final answer
   x = 435,929.94