Finding the Third Proportional to 80,522 and 187,172

Step by Step Solution

1. Step 1: Write the proportion equation
   80,522 : 187,172 = 187,172 : x
2. Step 2: Convert to fraction form
   80,522/187,172 = 187,172/x
3. Step 3: Cross multiply
   80,522x = 187,172 × 187,172
4. Step 4: Simplify right side
   80,522x = 35,033,357,584
5. Step 5: Solve for x
   x = 35,033,357,584/80,522
6. Step 6: Final answer
   x = 435,078.09