Finding the Third Proportional to 80,624 and 123,069

Step by Step Solution

1. Step 1: Write the proportion equation
   80,624 : 123,069 = 123,069 : x
2. Step 2: Convert to fraction form
   80,624/123,069 = 123,069/x
3. Step 3: Cross multiply
   80,624x = 123,069 × 123,069
4. Step 4: Simplify right side
   80,624x = 15,145,978,761
5. Step 5: Solve for x
   x = 15,145,978,761/80,624
6. Step 6: Final answer
   x = 187,859.43