Finding the Third Proportional to 80,624 and 188,270

Step by Step Solution

1. Step 1: Write the proportion equation
   80,624 : 188,270 = 188,270 : x
2. Step 2: Convert to fraction form
   80,624/188,270 = 188,270/x
3. Step 3: Cross multiply
   80,624x = 188,270 × 188,270
4. Step 4: Simplify right side
   80,624x = 35,445,592,900
5. Step 5: Solve for x
   x = 35,445,592,900/80,624
6. Step 6: Final answer
   x = 439,640.71