Finding the Third Proportional to 89,624 and 187,880

Step by Step Solution

1. Step 1: Write the proportion equation
   89,624 : 187,880 = 187,880 : x
2. Step 2: Convert to fraction form
   89,624/187,880 = 187,880/x
3. Step 3: Cross multiply
   89,624x = 187,880 × 187,880
4. Step 4: Simplify right side
   89,624x = 35,298,894,400
5. Step 5: Solve for x
   x = 35,298,894,400/89,624
6. Step 6: Final answer
   x = 393,855.38